Coefficients of bi-univalent functions with positive real part derivatives

Jay M. Jahangiri; Samaneh G. Hamidi; Suzeini Abd Halim

Coefficients of bi-univalent functions with positive real part derivatives

Jay M. Jahangiri, Samaneh G. Hamidi, Suzeini Abd Halim

Research output: Contribution to journal › Article › peer-review

Abstract

We consider analytic bi-univalent functions whose derivatives have positive real part on the unit disk. Using the Faber polynomial expansions, we obtain upper bounds for the coefficients of such functions. In certain cases, our estimates improve some of those existing coefficient bounds.

Original language	English (US)
Pages (from-to)	633-640
Number of pages	8
Journal	Bulletin of the Malaysian Mathematical Sciences Society
Volume	37
Issue number	3
State	Published - 2014
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

bi-univalent functions
Faber polynomials
Positive real part

Cite this

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title = "Coefficients of bi-univalent functions with positive real part derivatives",

abstract = "We consider analytic bi-univalent functions whose derivatives have positive real part on the unit disk. Using the Faber polynomial expansions, we obtain upper bounds for the coefficients of such functions. In certain cases, our estimates improve some of those existing coefficient bounds.",

keywords = "bi-univalent functions, Faber polynomials, Positive real part",

author = "Jahangiri, {Jay M.} and Hamidi, {Samaneh G.} and Halim, {Suzeini Abd}",

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journal = "Bulletin of the Malaysian Mathematical Sciences Society",

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T1 - Coefficients of bi-univalent functions with positive real part derivatives

AU - Jahangiri, Jay M.

AU - Hamidi, Samaneh G.

AU - Halim, Suzeini Abd

PY - 2014

Y1 - 2014

N2 - We consider analytic bi-univalent functions whose derivatives have positive real part on the unit disk. Using the Faber polynomial expansions, we obtain upper bounds for the coefficients of such functions. In certain cases, our estimates improve some of those existing coefficient bounds.

AB - We consider analytic bi-univalent functions whose derivatives have positive real part on the unit disk. Using the Faber polynomial expansions, we obtain upper bounds for the coefficients of such functions. In certain cases, our estimates improve some of those existing coefficient bounds.

KW - bi-univalent functions

KW - Faber polynomials

KW - Positive real part

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UR - http://www.scopus.com/inward/citedby.url?scp=84903763641&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84903763641

SN - 0126-6705

VL - 37

SP - 633

EP - 640

JO - Bulletin of the Malaysian Mathematical Sciences Society

JF - Bulletin of the Malaysian Mathematical Sciences Society

IS - 3

ER -

Coefficients of bi-univalent functions with positive real part derivatives

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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