Generalized Coefficient Estimates for a New Subclass of Analytic Functions

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2025

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World Scientific Publ Co Pte Ltd

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Abstract

In this study, a new subclass of analytic functions in the open unit disk was defined with the help of the function obtained by applying the Salagean derivative to the q-Ruscheweyh derivative operator. For the functions belonging to this subclass, the coefficient bounds for the Fekete-Szeg & ouml; functional were determined. The results of this paper are a generalization of the results of Kanas and Darwish [Fekete-Szeg & ouml; problem for starlike and convex functions of complex order, Appl. Math. Lett. 23(7) (2010) 777-782].

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Çağlar, Murat/0000-0001-8147-0343

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Analytic Functions, Salagean Derivative Operator, Analytic Functions, Starlike and Convex Function of Order Beta, Q-Ruscheweyh Differential Operator, Fekete-Szego Functional

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Asian-European Journal of Mathematics

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