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INCLUSION AND NEIGHBORHOOD PROPERTIES OF CERTAIN SUBCLASSES OF p-VALENT ANALYTIC FUNCTIONS OF COMPLEX ORDER INVOLVING A LINEAR OPERATOR

Ashok Kumar Sahoo|Jagannath Patel
대한수학회 (The Korean Mathematical Society)|2014.11|대한수학회보 (Bulletin of the KMS)|제51권 제6호|pp. 1625-1647

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참고문헌

키워드

neighborhoodinclusion relationshipssubordinationHadamard productp-valent analytic functionscomplex orderquasi-Hadamard product
주제분류수학

초록

By making use of the familiar concept of neighborhoods of analytic functions, we prove several inclusion relationships associated with the (n, δ)-neighborhoods of certain subclasses of p-valent analytic functions of complex order with missing coefficients, which are introduced here by means of the Saitoh operator. Special cases of some of the results obtained here are shown to yield known results.

Abstract

By making use of the familiar concept of neighborhoods of analytic functions, we prove several inclusion relationships associated with the (n, δ)-neighborhoods of certain subclasses of p-valent analytic functions of complex order with missing coefficients, which are introduced here by means of the Saitoh operator. Special cases of some of the results obtained here are shown to yield known results.

참고문헌 (28)

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관련 논문AI추천

Neighborhood Properties for Certain Subclasses of Analytic Functions of Complex Order with Negative CoefficientsSerap Bulut경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제2호Neighborhoods of certain subclasses of analytic functions with negative coefficientsHanan E. Darwish, Mohamed K. Aouf대한수학회 · 대한수학회보2011 · 제48권 제4호NEIGHBORHOODS OF p -VALENT FUNCTIONSHESAM MAHZOON, S. LATHA장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제1호Neighborhoods of p-valent functionsHesam Mahzoon, S. Latha장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제1호On Certain Class of Multivalent Functions Involving the Cho-Kwon-Srivastava OperatorJamal Mohammad Shenan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제1호Inclusion and Subordination Properties of Multivalent Analytic Functions Involving Cho-Kwon-Srivastava OperatorAshok Kumar Sahoo, Jagannath Patel경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제4호

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