Application of quasi-subordination for certain subclasses of bi-univalent functions of complex order

Şahsene Altınkaya

doi:10.26637/MJM0704/0011

Abstract

In this present paper, the author construct a new class $S_{\lambda, \delta}^{k, \alpha}(\gamma, t, \Psi)$ of bi-univalent functions of complex order defined in the open unit disc. The second and the third coefficients of the Taylor-Maclaurin series for functions in the new subclass are determined. Several special consequences of the results are also pointed out.

Keywords:

Bi-univalent functions, coefficient bounds, subordination, quasi-subordination

Mathematics Subject Classification:

Mathematics

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Şahsene Altınkaya Department of Mathematics, Bursa Uludag University 16059-Bursa, Turkey

Pages: 681-686
Date Published: 01-10-2019
Vol. 7 No. 04 (2019): Malaya Journal of Matematik (MJM)

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