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Coeefficient Estimates for a Subclass of Bi-univalent Functions Defined by S al agean Type q-Calculus Operator

Prakash Namdeo Kamble|Mallikarjun Gurullingappa Shrigan
경북대학교 자연과학대학 수학과|2018.12|Kyungpook Mathematical Journal|제58권 제4호|pp. 677-688

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참고문헌

키워드

analytic functionscoefficient boundsbi-univalent functionsSalagean q-differential operatorSalagean derivative
주제분류수학

초록

In this paper, we introduce and investigate a new subclass of bi-univalent functions defined by S˘al˘agean q-calculus operator in the open disk U. For functions belonging to the subclass, we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|. Some consequences of the main results are also observed.

Abstract

In this paper, we introduce and investigate a new subclass of bi-univalent functions defined by S˘al˘agean q-calculus operator in the open disk U. For functions belonging to the subclass, we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|. Some consequences of the main results are also observed.

참고문헌 (33)

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