International Journal of Nonlinear Analysis and Applications

On starlike functions related with the convex conic domain

Document Type : Research Paper

Authors

1 Department of Mathematics and Statistics‎, ‎University of Turku‎, ‎Turku‎, ‎Finland

2 University of Rzeszow, Faculty of Mathematics and Natural Sciences, ul. Prof. Pigonia 1, 35-310 Rzeszow, Poland

Abstract

‎In the present paper‎, ‎we study a new subclass $\mathcal{M}_p(\alpha,\beta)$ of $p$--valent functions and obtain some inequalities concerning the coefficients for the desired class‎. ‎Also‎, ‎by using the Hadamard product‎, ‎we define a new general operator and find a condition such that it belongs to the class $\mathcal{M}_p(\alpha,\beta)$‎.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 12, Issue 1
May 2021
Pages 567-573
  • Receive Date: 29 October 2018
  • Revise Date: 28 October 2019
  • Accept Date: 05 December 2019