Open Access
2009 AN APPLICATION OF DIFFERENTIAL SUBORDINATIONS TO THE CLASS OF CERTAIN ANALYTIC FUNCTIONS
Shigeyoshi Owa, A. A. Attiya
Taiwanese J. Math. 13(2A): 369-375 (2009). DOI: 10.11650/twjm/1500405342

Abstract

For functions belonging to the generalization class $\mathcal{R}_{p}(k,\alpha ,\lambda )$ of analytic functions in the open unit disc $\mathbb{U}=\{z:\,\left| z\right| \lt 1\}$, which investigated in this paper, some applications of differential subordination are obtained which contain interesting property of Hurwitz-Lerch Zeta function.

Citation

Download Citation

Shigeyoshi Owa. A. A. Attiya. "AN APPLICATION OF DIFFERENTIAL SUBORDINATIONS TO THE CLASS OF CERTAIN ANALYTIC FUNCTIONS." Taiwanese J. Math. 13 (2A) 369 - 375, 2009. https://doi.org/10.11650/twjm/1500405342

Information

Published: 2009
First available in Project Euclid: 18 July 2017

zbMATH: 1176.30053
MathSciNet: MR2499993
Digital Object Identifier: 10.11650/twjm/1500405342

Subjects:
Primary: 30C45 , 30C80

Keywords: Analytic function , convex function differential subordination , Hurwitz-Lerch Zeta function , Univalent Function

Rights: Copyright © 2009 The Mathematical Society of the Republic of China

Vol.13 • No. 2A • 2009
Back to Top