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<p>This article aims at exploring various geometric properties of entire functions, followed by some results related to differential equations and special functions. It focuses on the monotonicity of the normalized Miller-Ross function and further identifying adequate conditions for it to belong to certain subclasses of starlike functions. Additionally, the article provides various relations to ensure that the solution of a certain second-order differential equation is subordinate to the Janowski function. These findings are illustrated through a variety of examples involving certain entire functions.</p>

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Monotonicity, Starlikeness and Subordination Related Results for Some Special Functions

  • 期刊论文

  • 发表日期：

    2025年7月15日

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  • Meghna Sharma,
  • Naveen Kumar Jain,
  • Sushil Kumar

摘要

This article aims at exploring various geometric properties of entire functions, followed by some results related to differential equations and special functions. It focuses on the monotonicity of the normalized Miller-Ross function and further identifying adequate conditions for it to belong to certain subclasses of starlike functions. Additionally, the article provides various relations to ensure that the solution of a certain second-order differential equation is subordinate to the Janowski function. These findings are illustrated through a variety of examples involving certain entire functions.