Applications of the q-Wanas operator for a certain family of bi-univalent functions defined by subordination

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS(2022)

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摘要
In this work, we introduce and investigate a certain family TE(delta,lambda,s,t,sigma,eta,q:upsilon) of holomorphic and bi-univalent functions which are defined in the open unit disk U associated with q-Wanas operator. The estimates on the initial Taylor-Maclaurin coefficients | b(2) | and | b(3) | for the certain family are obtained. Also, we solve the FeketeSzego type inequality for functions in this family.
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关键词
Holomorphic functions, bi-univalent functions, coefficient estimates, FeketeSzego inequality, q-Wanas operator, subordination
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