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<p>The aim of this paper is to establish sufficient conditions on the parameters of a class of analytic functions related to Ramanujan-type entire functions, under which these functions are convex in the open unit disk. As an application, we study the monotonicity behavior of two related subclasses of functions, employing subordination factor sequences, as well as the monotonicity patterns of certain function classes involving the <i>q</i>-gamma function.</p>

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Convexity of Ramanujan type entire functions and its applications

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月25日

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  • Khaled Mehrez,
  • Abdulaziz Alenazi

摘要

The aim of this paper is to establish sufficient conditions on the parameters of a class of analytic functions related to Ramanujan-type entire functions, under which these functions are convex in the open unit disk. As an application, we study the monotonicity behavior of two related subclasses of functions, employing subordination factor sequences, as well as the monotonicity patterns of certain function classes involving the q-gamma function.