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<p>Using the Hadamard factorization, the exponential radii of starlikeness and convexity for <i>q</i>-Bessel and <i>q</i>-Bessel-Struve functions have been investigated. For certain ranges of the parameters appearing in these <i>q</i>-special functions, the precise values of the exponential radii of starlikeness and convexity are calculated as the solutions of transcendental equations. The interlacing property of the zeros of special functions and their derivatives is the fundamental technique utilized to demonstrate these results.</p>

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Exponential radii of starlikeness and convexity of q-special functions

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月20日

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  • Sercan Kazımoğlu,
  • Erhan Deniz,
  • Luminiţa-Ioana Cotîrlă,
  • Daniel Breaz

摘要

Using the Hadamard factorization, the exponential radii of starlikeness and convexity for q-Bessel and q-Bessel-Struve functions have been investigated. For certain ranges of the parameters appearing in these q-special functions, the precise values of the exponential radii of starlikeness and convexity are calculated as the solutions of transcendental equations. The interlacing property of the zeros of special functions and their derivatives is the fundamental technique utilized to demonstrate these results.