Coefficient Estimates for Sãlãgean Type λ-bi-pseudo-starlike Functions

Santosh Joshi<br />Sahsene Altinkaya; Sibel Yalçin

doi:10.5666/KMJ.2017.57.4.613

Articles

Kyungpook Mathematical Journal 2017; 57(4): 613-621

Published online December 23, 2017

Coefficient Estimates for Sãlãgean Type λ-bi-pseudo-starlike Functions

Santosh Joshi¹
Sahsene Altinkaya and Sibel Yalçin²

Department of Mathematics, Walchand College of Engineering, Sangli 416415, India¹
Department of Mathematics, Faculty of Arts and Science, Uludag University, 16059, Bursa, Turkey²

Received: September 28, 2016; Revised: October 2, 2017; Accepted: October 30, 2017

Abstract

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Abstract

In this paper, we have constructed subclasses of bi-univalent functions associated with λ–bi-pseudo-starlike functions in the unit disc U. Furthermore we established bound on the coefficients for the subclasses SΣλ(k,α) and SΣλ(k,β).

Keywords: analytic functions, bi-starlike functions, coefficient bounds