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Convergence of ray sequences of Padé approximants for 2 f 1(a, 1; c; z), (c > a > 0)
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: K. Driver K. JordaanThe Padé table of 2 F 1(a, 1; c; z) is normal for c > a > 0 (cf. [4]). For m ≥ n - 1 and c ∉ Z-, the denominator polynomial Q mn (z) in the [m/n]... -
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... -
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... -
Joint discrete universality for periodic zeta-functions. IV
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Antanas Laurinčikas --- Vilnius University, LithuaniaIn the paper, a theorem on the approximation of collections of a wide class of analytic functions by collections of shifts of zeta-functions with periodic co-efficients involving imaginary parts of non-trivial zeros of the Riemann zeta-function is obtained. For this,... -
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... -
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...