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<p>In this paper, we prove monotonicity properties for the four different kinds of normalized <i>q</i>-Struve-Bessel functions using the method of subordination factor sequences. In addition, several inequalities related to the <i>q</i>-gamma function have been established. To support the main fundings, graphs derived from specific parameter values were presented. Additionality, in the special case of <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math> <mi>q</mi> <mo stretchy="false">→</mo> <mn>1</mn> </math></EquationSource> <EquationSource Format="TEX">$q\rightarrow 1$</EquationSource> </InlineEquation>, we obtain the results of Deniz and Szász (Complex Anal. Oper. Theory 18:120, <CitationRef CitationID="CR8">2004</CitationRef>).</p>

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The monotony of the q−Struve-Bessel functions

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  • 出版模式：

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  • 发表日期：

    2025年12月8日

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  • Yücel Özkan,
  • Semra Korkmaz,
  • Erhan Deniz,
  • Murat Çağlar

摘要

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 $q\rightarrow 1$ , we obtain the results of Deniz and Szász (Complex Anal. Oper. Theory 18:120, 2004).