On q-analogs of Struve functions

descriptionPublicationkeyboard_double_arrow_right Article 14 Jan 2022 English Publisher:National Inquiry Services Center (NISC)Journal:Quaestiones Mathematicae, volume 46, pages 117-145 (issn: 1607-3606, eissn: 1727-933X,

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Authors: Oraby, Karima M.; Mansour, Zeinab S.I.;

doi: 10.2989/16073606.2021.2011798

On q-analogs of Struve functions

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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-StruveBessel 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.

Related Organizations

Cairo University
Egypt
Suez University
Egypt
Academy of Scientific Research and Technology
Egypt

Keywords

Struve functions, Jackson q-Bessel functions, Turán type inequality

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