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Certain Subclasses of Bi-Starlike Function of Complex Order Defined by Erdély-Kober-Type Integral Operator

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In the present paper, we introduce new subclasses of bi-starlike and bi-convex functions of complex order associated with Erdély–Kober-type integral operator in the open unit disc and find the estimates… Click to show full abstract

In the present paper, we introduce new subclasses of bi-starlike and bi-convex functions of complex order associated with Erdély–Kober-type integral operator in the open unit disc and find the estimates of initial coefficients in these classes. Moreover, we obtain Fekete-Szegő inequalities for functions in these classes. Some of the significances of our results are pointed out as corollaries.

Keywords: integral operator; complex order; subclasses starlike; kober type; erd kober; type integral

Journal Title: Axioms
Year Published: 2022

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