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Some Properties of a Subclass of Analytic Functions Involving a Generalized Differential Operator | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 30 مرداد 1405 اصل مقاله (1.08 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.66140.3077 | ||
| نویسندگان | ||
| Kadhavoor R Karthikeyan* 1؛ Daniel Breaz2؛ Dharmaraj Mohankumar3 | ||
| 1Department of Applied Mathematics and Science, National University of Science & Technology, Muscat P.O. Box 620, Oman. | ||
| 2Department of Mathematics, "1 Decembrie 1918'' University of Alba Iulia, Alba Iulia, 510009, Romania. | ||
| 3Department of Mathematics for Innovation, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences(SIMATS), Thandalam, Chennai, 602 105, India. | ||
| چکیده | ||
| Here we introduce a new differintegral operator involving a family of special functions which combines Mittag-Leffler function with the generalized Gaussian hypergeometric function. Using subordination, we introduce a new Bazilevi\v{c} functions of order $\alpha+i\beta$ involving the new differential operator. Since the defined class has a differential characterizations involving the differential operator, it helps in unifying the studies of starlike, convex, $\alpha$-convex function, close-to-convex, quasi-convex functions and so on. We have obtained some subordination results and the initial coefficient bounds of the functions belonging to the defined function class. | ||
| کلیدواژهها | ||
| Bazilevi\'c functions؛ differential subordination؛ generalized $M$-series؛ Mittag-Leffler function؛ Gaussian hypergeometric function | ||
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آمار تعداد مشاهده مقاله: 40 تعداد دریافت فایل اصل مقاله: 43 |
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