On starlike functions related with the convex conic domain

نویسندگان
Sokol, Janusz ID 1
Kargar, Rahim ID 2

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

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

doi
10.22075/ijnaa.2021.4839
چکیده

‎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 $\mathcal{M}_p(\alpha,\beta)$‎.

کلیدواژه‌ها
‎Analytic functions, $p$--valent functions, Generalized‎ ‎Bessel function, Gaussian hypergeometric function, Hadamard product