Unpredictability of the coefficients of m-fold symmetric bi-starlike functions-Reference-Cited by-同舟云学术

Unpredictability of the coefficients of m-fold symmetric bi-starlike functions

Published:2014-06 Issue:07 Volume:25 Page:1450064
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Hamidi Samaneh G.¹,Jahangiri Jay M.²

Affiliation:

1. Institute of Mathematical Sciences, University of Malaya, Kuala Lumpur, Malaysia

2. Department of Mathematical Sciences, Kent State University, Burton, Ohio, USA

Abstract

In 1984, Libera and Zlotkiewicz proved that the inverse of the square-root transform of the Koebe function is the extremal function for the inverses of odd univalent functions. The purpose of this paper is to point out that this is not the case for the m-fold symmetric bi-starlike functions by demonstrating the unpredictability of the coefficients of such functions.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X14500645

Reference21 articles.

1. Differential calculus on the Faber polynomials

2. An algebra of differential operators and generating functions on the set of univalent functions

3. Estimates for inverse coefficients of univalent functions from integral means

4. Coefficients of univalent functions with restricted maximum modulus

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