International Journal of Nonlinear Analysis and Applications

New classes of certain analytic functions

Document Type : Research Paper

Authors

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

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 2087-2094
  • Receive Date: 23 March 2022
  • Revise Date: 29 May 2022
  • Accept Date: 10 June 2022