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Class-mapping properties of the Hohlov operator

Trailokya Panigrahi|Akshaya K. Mishra
대한수학회 (The Korean Mathematical Society)|2011.01|대한수학회보 (Bulletin of the KMS)|제48권 제1호|pp. 51-65

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참고문헌

키워드

Hohlov operatorHadamard productunivalenthypergeometric seriesk-uniformly convexparabolic starlike
주제분류수학

초록

In the present paper sufficient conditions, in terms of hypergeometric inequalities,are found so that the Hohlov operator preserves a certain subclass of close-to-convex functions (denoted by [기호](A,B)) and transforms the classes consisting of k-uniformly convex functions, k-starlike functions and univalent starlike functions into [기호](A,B).

Abstract

In the present paper sufficient conditions, in terms of hypergeometric inequalities,are found so that the Hohlov operator preserves a certain subclass of close-to-convex functions (denoted by [기호](A,B)) and transforms the classes consisting of k-uniformly convex functions, k-starlike functions and univalent starlike functions into [기호](A,B).

참고문헌 (21)

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관련 논문AI추천

PROPERTIES OF HYPERGEOMETRIC FUNCTIONS RELATED TO UNIFORMLY CONVEX AND UNIFORMLY STARLIKE FUNCTIONS이효정, G. Murugusundaramoorthy, J. H. Park, N. E. Choi장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제1호Some Inclusion Properties of New Subclass of Starlike and Convex Functions associated with Hohlov OperatorGANGADHARAN. MURUGUSUNDARAMOORTHY, Janusz Sokol, Thilagavathi Kothandabani경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제2호Subclasses of k-uniformly convex and k-starlike functions defined by S[문자]l[문자]gean operatorBilal [문자]eker, Mugur Acu, Sevtap S[문자]mer Eker대한수학회 · 대한수학회보2011 · 제48권 제1호Coefficient bounds for bi-univalent analytic functions associated with Hohlov operatorG. Murugusundaramoorthy, TRAILOKYA PANIGRAHI장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제1호Subordination results for uniformly convex and starlike functions associated with generalized hypergeometric functionsG. Murugusundaramoorthy, N. Magesh장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2007 · 제10권 제2호Suffciency Conditions for Hypergeometric Functions to be in a Subclasses of Analytic FunctionsAdela Osman Mostafa, Hanaa Mousa Zayed, Mohamed Kamal Aouf경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제1호

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