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The influence of sowing rate on the production and growth of wild oat (Avena fatua) in the depleted semi-arid rangelands of Jordan
Item type: Journal Article • Journal: African Journal of Range & Forage Science • Authors: M.K.J. El-Shatnawi H.Z. GhoshehThe objective of this work was to determine the proper sowing rate of wild oat (Avena fatua) in the depleted north-eastern semi-arid grasslands of Jordan. Wild oat seeding rates of 15, 30, 45 and 60 kg ha−l were evaluated in... -
Alternative Taper Curve Estimation Methods for Eucalyptus cloeziana (F. Muell.)
Item type: Journal Article • Journal: The Southern African Forestry Journal • Authors: K. P.A. Eerikäinen --- Faculty of Forestry, Finland D. Mabvurira --- , Zimbabwe J. Saramäki --- ,Three types of taper estimation methods for Eucalyptus cloeziana were applied and compared by using Zambian and Zimbabwean plantation data. The methods are: (1) Schumacher's taper equation, (2) diameter prediction method and (3) polynomial taper curve. The Schumacher's taper equation... -
Two 1935 questions of Mazur about polynomials in Banach spaces: counter-examples
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Vladimir PestovWe give various constructions of which the most significant is a continuous scalar-valued 2-polynomial W on the separable Hilbert space l 2 and an unbounded set R ⊂ l 2 such that (i) W is bounded on an ε-neighbourhood of... -
On Rademacher's Conjecture and A Recurrence Relation of Euler
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Morley Davidson StephenM. GagolaWe consider a connection between Rademacher's conjectural partial fraction decomposition for the reciprocal of Dedekind's eta function and Euler's recurrence relation for the partition function. An identity for coefficients attached to cyclotomic characteristic roots of this recurrence is obtained under... -
Extreme 2-homogeneous polynomials on Hilbert spaces
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: BogdanC. GrecuLet H be a (real or complex) Hilbert space. We characterize the extreme points of the unit ball of the space of 2-homogeneous polynomials on H. We find the exact value of the λ-function for P(2 H) and thus we... -
The derivation of cycle index of Sn [3]
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: I.N. Kamuti J.O. Obon'goWe evaluate the cycle index polynomial of the reduced triple group Sn [3]. We also use similar techniques to derive the cycle index polynomial of the triple group Sn (3) which had earlier been found by Oberschelp (see... -
On the Difference of Orthonormal Polynomials
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: D.G. Kubayi H.P. MasheleWe establish an estimate on the difference of orthonormal polynomials for a general class of exponential weights. -
On Polynomial and Multiplicative Radicals
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: S. Tumurbat R. WiegandtWe show that polynomial and multiplicative radicals in [1] are special cases of radicals defined by means of elements. We scrutinize the way of defining a radical γG by a subset G of polynomials in noncommuting indeterminates. Defining polynomial radicals,... -
Extension of the Dirichlet-Jordan Convergence Criterion for Exponential Weights
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: H.P. MasheleThe well-known Dirichlet-Jordan Criterion for Fourier series states that the trigonometric Fourier series of a 2π periodic function f having bounded variation converges to ½[f(x + 0) + f(x – 0)] for every x and this convergence is uniform on... -
Quasi-orthogonality and zeros of some 3 F 2 hypergeometric polynomials
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: K.A. Driver S.J. JohnstonThe location of the zeros of general hypergeometric polynomials are linked with those of the classical orthogonal polynomials in some cases, notably 2 F 1 and 1 F 1 hypergeometric polynomials which have been extensively studied. In the case of... -
Diophantine equations involving general Meixner and Krawtchouk polynomials
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Thomas Stoll RobertF. TichyWhile counting lattice points in octahedra of different dimensions n and m, it is an interesting question to ask, how many octahedra exist containing equally many such points. This gives rise to the Diophantine equation p n (x) =... -
(Φ, M)–extensions of near-rings
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Mark FaragIn this paper, we define and study a generalization of matrix, polynomial, and group near-rings. New results on ideal essentiality and lying over are obtained. -
Secant and cosecant sums and Bernoulli-Nörlund polynomials
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: PeterJ. Grabner Helmut ProdingerWe give explicit formulae for sums of even powers of secant and cosecant values in terms of Bernoulli numbers and central factorial numbers. -
Asymptotic zero distribution of a class of hypergeometric polynomials
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: K.A. Driver S.J. JohnstonWe prove that the zeros of 2 F 1 (−n, n+1/2; n+3/2; z asymptotically approach the section of the lemniscate {z : |z(1 − z)2&verbar = 4/27; Re(z) > 1/3} as n → ∞. In recent papers (cf. [8], [10]),... -
On the Maximal Function for the Generalized Ornstein-uhlenbeck Semigroup.
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Jorge Betancor Liliana Forzani Roberto Scotto WilfredoO. UrbinaIn this note we consider the maximal function for the generalized Ornstein-Uhlenbeck semigroup in R associated with the generalized Hermite polynomials {H μ n } and prove that it is weak type (1,1) with respect to dλ... -
A note on generating functions for Rogers-Szegő polynomials
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Jian Cao --- Department of Mathematics, P.R. ChinaIn this paper, the details of certain Carlitz's generating functions for Rogers-Szegőpolynomials and their generalizations are given by Carlitz's q-operators. In addition, an additional proof of Srivastava-Jain's generating function is shown. At last, generalizations of Srivastava-Agarwal type generating functions are... -
Generating polynomials using function composition
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Erhard Aichinger --- Institut für Algebra, AustriaWe characterize the integral polynomials that can be obtained from x and x 2 (or from 1, x, and x 3) by using +, −, and function composition. -
Efficient spectral-Petrov-Galerkin methods for third- and fifth-order differential equations using general parameters generalized Jacobi polynomials
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: W.M. Abd-Elhameed --- Department of Mathematics, Faculty of Science, Saudi Arabia E.H. Doha --- Department of Mathematics, Faculty of Science, Giza-Egypt Y.H. Youssri --- Department of Mathematics, Faculty of Science, Giza-EgyptTwo new families of general parameters generalized Jacobi polynomials are introduced. Some efficient and accurate algorithms based on these families are developed and implemented for solving third- and fifth-order differential equations in one variable subject to homogeneous and nonhomogeneous boundary... -
On the Interlacing of Zeros of Linear Combinations of Jacobi Polynomials from Different Sequences
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Kathy Driver Kerstin Jordaan Norbert MbuyiWe investigate the interlacing of the zeros of linear combinations pn +aqm with the zeros of the components pn and qm , where {pn }∞ n=0 and {q m }∞ m=0 are different sequences of Jacobi polynomials... -
On evaluating multivariate polynomials over finite fields
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Edoardo Ballico --- Via Sommarive 14, Italy Michele Elia --- Dipartimento di Elettronica, Politecnico di Torino, ItalySome evaluation methods of multivariate polynomials over finite fields are described and their multiplicative complexity is discussed. -
A note on order one cyclotomic polynomials
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Alex Samuel Bamunoba --- Department of Mathematical Sciences, South AfricaIt is a well known fact that, if p is an odd prime, then the pth-elementary cyclotomic polynomial Φ2sp(x) has an associated p-Eisenstein polynomial . We extend this construction and show that, every order one elementary cyclotomic polynomial Φ2s pt... -
Integral and discrete representations of some H q -semiclassical forms
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Manoubi Mejri --- , , TunisiaThe aim of this paper is to deduce integral and discrete representations of some H q -semiclassical forms of class one. These forms were studied by B. Bouras and F. Marcellan in [1], (Quadratic decomposition of a family of... -
A note on cyclotomic polynomials and Linear Feedback Shift Registers
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Laura Capuano --- Politecnico di Torino, Italy Antonio J. Di Scala --- Politecnico di Torino, ItalyLinear Feedback Shift Registers (LFSR) are tools commonly used in cryptography in many contexts, for example as pseudo-random numbers generators. In this paper we characterize LFSR with certain symmetry properties. Related to this question we also classify polynomials f satisfying... -
Some notes on orthogonally additive polynomials
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: C. Schwanke --- University of Pretoria, South AfricaWe provide two new characterizations of bounded orthogonally additive polynomials from a uniformly complete vector lattice into a convex bornological space using separately two polynomial identities of Kusraeva involving the root mean power and the geometric mean. Furthermore, it is... -
Solvability and nilpotency of expanded groups relative to the nearring of zero and congruence preserving functions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Gary L. Peterson --- James Madison University, USA Stuart D. Scott --- University of Auckland, New ZealandIn this paper we study solvability and nilpotency of an expanded group relative to the nearring of zero and congruence preserving functions of the expanded group. A particular case of interest is when the expanded group is a nearring module... -
On norm-attainment in (symmetric) tensor products
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Sheldon Dantas --- Universitat Jaume I, Spain Luis C. García-Lirola --- Universidad de Zaragoza, Spain Mingu Jung --- POSTECH, Republic of Korea Abraham Rueda Zoca --- Universidad de Murcia, SpainIn this paper, we introduce a concept of norm-attainment in the projective symmetric tensor product of a Banach space X, which turns out to be naturally related to the classical norm-attainment of N -homogeneous polynomials on X. Due to this... -
On higher order generalized geometric polynomials with shifted parameters
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: José A. Adell --- Universidad Zaragoza, Spain Beáta Bényi --- University of Public Service, Hungary Sithembele Nkonkobe --- Sol Plaatje University, South AfricaWe study a special class of higher order generalized geometric polynomials. Based on our combinatorial interpretation of labeled barred preferential arrangements, we prove several recursions. We also study the polynomials from a probabilistic point of view, and show how our... -
Representing polynomials by degenerate Bernoulli polynomials
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Dae San Kim --- Sogang University, Republic of Korea Taekyun Kim --- Kwangwoon University, Republic of KoreaIn this paper, we consider the problem of representing any polynomial in terms of the degenerate Bernoulli polynomials and more generally of the higher-order degenerate Bernoulli polynomials. We derive explicit formulas with the help of umbral calculus and illustrate our... -
Compression with wildcards: Abstract simplicial complexes
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Marcel Wild --- Stellenbosch University, SADespite the more handy terminology of abstract simplicial complexes , in its core this article is about antitone Boolean functions. Given the maximal faces (=facets) of , our main algorithm, called Facets-To-Faces, outputs in a compressed format. The degree of... -
Representable and Radon-Nikodým polynomials
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Raffaella Cilia --- Università di Catania, Italy Joaquín M. Gutiérrez --- Universidad Politécnica de Madrid, SpainEvery k-homogeneous (continuous) polynomial between Banach spaces admits a unique Aron-Berner extension to the biduals. -
Euclidean polynomials for certain arithmetic progressions and the multiplicative group of
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Kadri İlker Berktav --- Institute of Applied Mathematics, Middle East Technical University, Turkey Ferruh Özbudak --- Middle East Technical University, TurkeyLet f(x) be a polynomial with integer coefficients. We say that the prime p is a prime divisor of f(x) if p divides f(m) some integer m. For each positive integer n, we give an explicit construction of a polynomial... -
The integer sequence transform a → b, where bn is the number of real roots of the polynomial a 0 + a 1 x + a 2 x 2 + · · · + anxn
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: W. Edwin Clark --- University of South Florida, USA Mark Shattuck --- University of Tennessee, USAWe discuss the integer sequence transform a 1→ b, where bn is the number of real roots of the polynomial a 0 + a 1 x + a 2 x 2 + · · · + anxn . It is... -
Analytical approaches for growth models in economics
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Gülden Gün Polat --- Gebze Technical University, Turkey Teoman Özer --- İstanbul Technical University, TurkeyThis study deals with the group-theoretical analysis of nonlinear optimal control problems called the optimal growth model with the environmental asset and capitalist decision model of endogenous growth, which are expressed in terms of the current and present value Hamiltonian... -
The Golomb topology of polynomial rings, II
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Dario Spirito --- Università degli Studi di Udine, ItalyWe study the interplay of the Golomb topology and the algebraic structure in polynomial rings K[X] over a field K. In particular, we focus on infinite fields K of positive characteristic such that the set of irreducible polynomials of K[X]... -
Lax pullback complements in partial morphism categories
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: S.N. Hosseini --- Mahani Mathematical Research Center, Shahid Bahonar University of Kerman, Iran L. Yeganeh --- Mahani Mathematical Research Center, Shahid Bahonar University of Kerman, IranThe goal of this article is to characterize the lax pullback complement of a given partial morphism along a total morphism, in an -partial morphism category, where is an exponentiable stable system. To achieve this, we first show that if... -
Generalized derivations with nilpotent values in semiprime rings
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Cheng-Kai Liu --- National Changhua University of Education, TaiwanLet R be a (semi-) prime ring with extended centroid C, let f(X 1, … , Xk ) be a multilinear polynomial over C in k noncommutative indeterminates which is not central-valued on R and let g be a generalized derivation of... -
Planar polynomial of the graphs
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Behnaz Tolue --- Hakim Sabzevari University, Iran Alireza Doostabadi --- University of Zabol, Iran Sayed Masih Ayat --- University of Zabol, IranIn this paper, the planar polynomial of a graph is introduced and some of its properties are discussed. The planar polynomial of the graph G is real-rooted if and only if G is planar. This polynomial is not EE-invariant. Some... -
Geometric polynomials via a differential operator
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Said Taharbouchet --- University of M’hamed Bougra, Algeria Miloud Mihoubi --- , AlgeriaIn this paper, we use differential operator to present new identities and provide alternative proofs for certain established identities related to geometric polynomials. Additionally, by using the differential operator associated with geometric polynomials, Rolle’s theorem and a theorem of Wang... -
Probabilistic bivariate Bell polynomials
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Dae San Kim --- Sogang University, Republic of Korea Taekyun Kim --- Kwangwoon University, Republic of KoreaLet Y be a random variable whose moment generating function exists in some neighborhood of the origin. We consider the probabilistic bivariate Bell polynomials associated with Y and the probabilistic bivariate r-Bell polynomials associated with Y. For those polynomials, we... -
Some classes satisfying the 2-dimensional Jacobian conjecture and a proof of the complex conjecture until degree 104
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Thuy Nguyen --- São Paulo State Univesity (UNESP), BrazilWe construct a non-proper set of two variables polynomial maps and study the nowhere vanishing Jacobian condition of the Jacobian conjecture for this set. We obtain some classes of polynomial maps satisfying the 2-dimensional Jacobian conjecture for both real and... -
Umbilicity of complete linear Weingarten hypersurfaces immersed in certain Einstein manifolds
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Henrique F. de Lima --- Universidade Federal de Campina Grande, Brazil Lucas S. Rocha --- Universidade Federal de Campina Grande, Brazil Marco Antonio L. Velásquez --- Universidade Federal de Campina Grande, BrazilIn this paper, we present some sets of geometric conditions that ensure the umbilicity of linear Weingarten hypersurfaces immersed in an Einstein manifold satisfying standard curvature constraints which, in particular, are verified by a Riemannian space with constant sectional curvature... -
Partially ordered rings with negative squares
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Nhi Durtschi --- University of Houston-Clear Lake, USA Jingjing Ma --- University of Houston-Clear Lake, USA R.H. Redfield --- Hamilton College, USAA partially ordered ring (R, ≤) with negative squares is a partially ordered ring in which for some element a ∈ R, a 2 < 0. In this paper, we study this class of partially ordered rings. It is shown... -
On the sum of annihilators in nearrings
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Nastaran Naseripour --- Shahrood University of Technology, Iran Ebrahim Hashemi --- Shahrood University of Technology, Iran Mahsa Paykanian --- Shahrood University of Technology, IranA ring is termed a left IN-ring if the right annihilator of the intersection of any two left ideals is equal to the sum of their right annihilators. As a generalization of left IN-ring, a ring is called a right... -
On the stability of a system with one control and with non local boundary conditions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Farida Belhannache --- University of Jijel, Algeria Salim A. Messaoudi --- University of Sharjah, UAEIn this paper, we consider a system of two hyperbolic equations with Bessel operators and weighted integral conditions. We use a non traditional multiplier method to establish a decay result of solutions. -
A note on the cube polynomials of Fibonacci and Lucas-Run graphs
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Jianxin Wei --- School of Mathematics and Statistics Science, Ludong University, P.R. ChinaThe cube polynomials of the Fibonacci-run graph and Lucas-run graph are determined, and a conjecture on the relation between them is proved. Note that Mollard (2025) [9] has considered deeply this question and obtained many general conclusions. Here we study... -
On the location of ratios of zeros of special trinomials
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: I. Ndikubwayo --- Makerere University, Uganda A.S. Bamunoba --- Lira University, UgandaGiven coprime integers k, ℓ with k > ℓ ⩾ 1, and arbitrary complex polynomials A(z) and B(z) such that deg(A(z)B(z)) ⩾ 1, we consider the polynomial sequence {Pn (z)} satisfying the three-term recurrence relation