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Maximal area integral problem for a family of multivalent functions of starlike type | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 15 تیر 1405 اصل مقاله (430.86 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2025.34134.5095 | ||
| نویسندگان | ||
| C Infantina Sharmi؛ S Sunil Varma* | ||
| Department of Mathematics, Madras Christian College, Tambaram, Chennai-600059, Tamil Nadu, India | ||
| تاریخ دریافت: 25 اردیبهشت 1403، تاریخ بازنگری: 24 فروردین 1404، تاریخ پذیرش: 27 فروردین 1404 | ||
| چکیده | ||
| For a normalized analytic multivalent function $f$ defined in the open unit disk $\{z \in \mathbb{C}:|z|<1\},$ let $\Delta(r,f)$ and $L(r,f,p)$ denote the Dirichlet integral and the integral mean of $f$, respectively. In this research article, we consider a subclass $S^{*}_{p}(A,B,\lambda)$ of normalized analytic multivalent functions in the open unit disk and solve the Yamashitha's conjecture for this subclass. Also, we determine the extremal function for which the integral mean $L(r,f,p)$ is maximum. | ||
| کلیدواژهها | ||
| multivalent analytic function؛ subordination؛ integral means؛ area integral؛ Gaussian hypergeometric functions | ||
| مراجع | ||
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