Open Access
January 2018 On $\lambda$-pseudo bi-starlike and $\lambda$-pseudo bi-convex functions with respect to symmetrical points
S. Sümer Eker, Bilal Şeker
Tbilisi Math. J. 11(1): 49-57 (January 2018). DOI: 10.2478/tmj-2018-0004

Abstract

In this paper, defining new interesting classes, $\lambda$-pseudo bi-starlike functions with respect to symmetrical points and $\lambda$-pseudo bi-convex functions with respect to symmetrical points in the open unit disk $\mathbb U$, we obtain upper bounds for the initial coefficients of functions belonging to these new classes.

Citation

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S. Sümer Eker. Bilal Şeker. "On $\lambda$-pseudo bi-starlike and $\lambda$-pseudo bi-convex functions with respect to symmetrical points." Tbilisi Math. J. 11 (1) 49 - 57, January 2018. https://doi.org/10.2478/tmj-2018-0004

Information

Received: 21 April 2017; Accepted: 20 December 2017; Published: January 2018
First available in Project Euclid: 21 April 2018

zbMATH: 06856987
MathSciNet: MR3767422
Digital Object Identifier: 10.2478/tmj-2018-0004

Subjects:
Primary: 30C45
Secondary: 30C50

Keywords: $\lambda$-pseudo convex with respect to symmetrical points , $\lambda$-pseudo starlike with respect to symmetrical points , Bi-univalent functions , Coefficient estimates

Rights: Copyright © 2018 Tbilisi Centre for Mathematical Sciences

Vol.11 • No. 1 • January 2018
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