The Monotony of the Q-Struve Functions

Abstract

In this paper, we prove monotonicity properties for the four different kinds of normalized q-Struve-Bessel functions using the method of subordination factor sequences. In addition, several inequalities related to the q-gamma function have been established. To support the main fundings, graphs derived from specific parameter values were presented. Additionality, in the special case of q -> 1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$q\rightarrow 1$\end{document}, we obtain the results of Deniz and Sz & aacute;sz (Complex Anal. Oper. Theory 18:120, 2004).