New classes of certain analytic functions

نویسندگان
Guney, H. Ozlem ID 1
Acu, Mugur ID 2
Owa, Shigeyoshi ID 3

1 Dicle University, Faculty of Science, Department of Mathematics, Diyarbakir, Turkiye

2 Lucian Blaga University of Sibiu, Faculty of Science, Department of Mathematics and Informatics, Street: Dr. I. Ratiu 5-7, 550012 Sibiu, Romania

3 Honorary Professor "1 Decembrie 1918" University of Alba Iulia, Alba Iulia, Romania

doi
10.22075/ijnaa.2022.26687.3388
چکیده

Considering a function $f(z)$ which is the extremal function for $p-$valently starlike of order $\alpha$ in the open unit disk, two new classes $S_p^*(m,\alpha)$ and $K_p(m,\alpha)$ are introduced. The object of the present paper is to discuss some interesting problems of functions $f(z)$ concerned with $S_p^*(m,\alpha)$ and $K_p(m,\alpha).$

کلیدواژه‌ها
Appell's symbol, Analytic function, p-valently starlike of order $alpha, $ p-valently convex of order $alpha$