On q-analogs of Struve functions

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.

Mathematics Subject Classification (2020):

• 05A30
• 33D05
• 33D15
• 33C10

Key words:

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