Document Type : Research Paper

Authors

• H. Ozlem Guney ¹
• Mugur Acu ²
• Shigeyoshi Owa 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

Abstract

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 $K_p(m,\alpha).$

Keywords

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