Research Article

On q-analogs of Struve functions

Published in: Quaestiones Mathematicae
Volume 46 , issue 1 , 2023 , pages: 117–145

DOI: 10.2989/16073606.2021.2011798

Author(s): Karima M. Oraby Suez University, Egypt , Zeinab S.I. Mansour Cairo University, Egypt

Keywords: 05A30 , 33D05 , 33D15 , 33C10 , Struve functions , Jackson q-Bessel functions , Turán type inequality

Abstract

In this paper, we introduce q-analogs of the Struve-Bessel functions in terms of q-sine functions. We study the reality of the zeros of the q-Struve Bessel functions and their properties. Also, the interlacing of the zeros of the q-Struve Bessel functions and the zeros of corresponding q-Bessel functions are proved under certain conditions on q. We investigate Turán type inequalities for the second and third q-Struve Bessel functions.

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