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<p>Using admissibilty conditions, we investigate some third-order differential subordination results with a superordinate function <i>q</i>(<i>z</i>)= <i>e</i><sup><i>z</i></sup><i>.</i> As an application, we obtain sufficient conditions for certain special functions to become exponential convex and exponential starlike. The derived second-order differential implications significantly generalize numerous results obtained in [A. Naz, S. Nagpal, V. Ravichandran, <i>Mediterran. J. Math.,</i> <b>17</b>, No. 204, 1–22 (2020)].</p>

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Third Order Differential Subordination Associated with Exponential Function

  • 期刊论文

  • 发表日期：

    2025年12月17日

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  • V. Agnes Sagaya Judy Lavanya,
  • M. P. Jeyaraman,
  • M. P. Rajakumar

摘要

Using admissibilty conditions, we investigate some third-order differential subordination results with a superordinate function q(z)= ez. As an application, we obtain sufficient conditions for certain special functions to become exponential convex and exponential starlike. The derived second-order differential implications significantly generalize numerous results obtained in [A. Naz, S. Nagpal, V. Ravichandran, Mediterran. J. Math., 17, No. 204, 1–22 (2020)].