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BI-UNIVALENT FUNCTIONS OF COMPLEX ORDER BASED ON SUBORDINATE CONDITIONS INVOLVING HURWITZ-LERCH ZETA FUNCTION

G. Murugusundaramoorthy|조낙은|T. Janani
영남수학회 (Youngnam Mathematical Society)|2016.01|East Asian Mathematical Journal|제32권 제1호|pp. 47-59|DOI http://dx.doi.org/10.7858/eamj.2016.006

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키워드

Analytic functionsUnivalent functionsBi-univalent functionsBi-starlike and bi-convex functionsGeneralized Srivastava-Attiya operatorHurwitz-Lerch Zeta function
주제분류수학

초록

The purpose of the present paper is to introduce and investigatetwo new subclasses of bi-univalent functions of complex order de nedin the open unit disk, which are associated with Hurwitz-Lerch zeta functionand satisfying subordinate conditions. Furthermore, we nd estimateson the Taylor-Maclaurin coe cients |a2| and |a3| for functions in the newsubclasses. Several (known or new) consequences of the results are alsopointed out.

Abstract

The purpose of the present paper is to introduce and investigatetwo new subclasses of bi-univalent functions of complex order de nedin the open unit disk, which are associated with Hurwitz-Lerch zeta functionand satisfying subordinate conditions. Furthermore, we nd estimateson the Taylor-Maclaurin coe cients |a2| and |a3| for functions in the newsubclasses. Several (known or new) consequences of the results are alsopointed out.

참고문헌 (30)

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관련 논문AI추천

COEFFICIENT ESTIMATES OF BI-UNIVALENT FUNCTIONS OF COMPLEX ORDER ASSOCIATED WITH RAFID-OPERATORG. Murugusundaramoorthy, T. Janani장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제4호SUBORDINATION RESULTS FOR CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH HURWITZ-LERCH ZETA FUNCTIONGANGADHARAN. MURUGUSUNDARAMOORTHY장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제1호COEFFICIENT ESTIMATES OF MOCANU-TYPE MEROMORPHIC BI-UNIVALENT FUNCTIONS OF COMPLEX ORDER조낙은, G. Murugusundaramoorthy, T. JANANI장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제4호Certain Subclasses of Bi-Starlike and Bi-Convex Functions of Complex OrderNanjundan Magesh, Vittalrao Kupparao Balaji경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제3호Coefficient bounds for a subclass of bi-univalent functions associated with Dziok-Srivastava operatorMohammad Mehdi Shabani, Saeed Hashemi Sababe강원경기수학회 · 한국수학논문집2022 · 제30권 제1호Sharp coefficient inequalities for certain subclasses of bi-univalent Bazilevi\v{c} functionsAmol Bhausaheb Patil대한수학회 · 대한수학회논문집2022 · 제37권 제1호

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