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The Fekete-Szegö inequality for subclass of analytic functions of complex order

G. Murugusundaramoorthy|T. Panigrahi
장전수학회 (Jangjeon Mathematical Society)|2014.01|Advanced Studies in Contemporary Mathematics|제24권 제1호|pp. 67-75

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참고문헌

키워드

Analytic functionssubordinationFractional derivativeConvex functionsStarlike functionsFekete-Szegö inequality
주제분류수학

초록

in the present investigation, we obtain sharp upper bounds for the Fekete-Szegö coefficient funtional (formual) for certain normalized analyric funtions defined on the open unit disk in the complex plane. As an application of the main result, the anrhours obtain the Fekete-Szegö inequality for a class of funtions defined through fractional derivatives.

Abstract

in the present investigation, we obtain sharp upper bounds for the Fekete-Szegö coefficient funtional (formual) for certain normalized analyric funtions defined on the open unit disk in the complex plane. As an application of the main result, the anrhours obtain the Fekete-Szegö inequality for a class of funtions defined through fractional derivatives.

참고문헌 (25)

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Fekete-Szego Inequalities for Quasi-Subordination Functions Classes of Complex OrderRabha El-Ashwah, Stanislawa Kanas경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제3호Fekete-Szego Problem for a Generalized Subclass of Analytic FunctionsHalit Orhan, Murat Caglar, Nihat Yagmur경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제1호Fekete-Szeg\"{o} inequalities for a new general subclass of analytic functions involving the $\left( p,q\right)$-derivative operatorSerap Bulut대한수학회 · 대한수학회논문집2022 · 제37권 제3호FEKETE-SZEG¨O PROBLEM FOR CERTAIN SUBCLASSES OF UNIVALENT FUNCTIONSAllu Vasudevarao대한수학회 · 대한수학회보2015 · 제52권 제6호On the Fekete-Szegő Problem for a Certain Class of Meromorphic Functions Using q-Derivative OperatorHalit Orhan, Mohamed Kamal Aouf경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제2호The Fekete-Szeg"o Problem for A Generalized Subclass of An-alytic FunctionsErhan Deniz, Halit Orhan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제1호

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