논문KCI 등재
Coefficient bounds for certain subclasses of meromorphic and bi-univalent functions
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In the present investigation, the author introduces two interesting subclasses of normalized meromorphic univalent functions w = f(z) defined on ˜ := {z 2 C : 1 < |z| < 1} whose inverse f−1(w) is also univalent meromorphic in ˜. Estimates for the initial coefficients are obtained for the functions in these new subclasses.
Abstract
In the present investigation, the author introduces two interesting subclasses of normalized meromorphic univalent functions w = f(z) defined on ˜ := {z 2 C : 1 < |z| < 1} whose inverse f−1(w) is also univalent meromorphic in ˜. Estimates for the initial coefficients are obtained for the functions in these new subclasses.
참고문헌 (9)
- P. L. Duren, "Coefficients of meromorphic schlicht functions", Proc. Amer. Math. Soc, 28, pp.169~172 (1971)
- B. A. Frasin, "New subclasses of bi-univalent functions", Appl. Math. Lett, 24(9), pp.1569~1973 (2011)
- Y. Kubota, "Coefficients of meromorphic univalent functions", Kodai Math. Sem. Rep, 28(2), pp.253~261 (1977)
- Ch. Pommerenke, "Univalent Functions" (1975), Vandenhoeck and Ruprecht
- M. Schiffer, "Sur un proble˙me d´extre´mum de la representation conforme", Bull. Soc. Math. France, 66, pp.48~55 (1938)
- G. Schober, "Coefficients of inverses of meromorphic univalent functions", Proc. Amer. Math. Soc, 67(1), pp.111~116 (1977)
- G. Springer, "The coefficient problem for schlicht mappings of the exterior of the unit circle", Trans. Amer. Math. Soc, 70, pp.421~450 (1951)
- H. M. Srivastava, "Certain subclasses of analytic and bi-univalent functions", Appl. Math. Lett, 23(10), pp.1188~1192 (2010)
- Q.-H. Xu, "Coefficient estimates for a certain subclass of analytic and bi-univalent functions", Appl. Math. Lett, 25(6), pp.990~994 (2012)
관련 논문AI추천
Coefficient estimates for certain subclass of meromorphic and bi-univalent functionsAhmad Zireh, Safa Salehian대한수학회 · 대한수학회논문집2017 · 제32권 제2호COEFFICIENT 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 제4호Coeffcient Bounds for Several Subclasses of Analytic and Bi-univalent FunctionsHossein Piri, Janusz Sokol, Samira Rahrovi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제2호Faber polynomial coefficient estimates for certain subclass of meromorphic bi-univalent functionsAhmad Motamednezhad, Safa Salehian대한수학회 · 대한수학회논문집2018 · 제33권 제4호COEFFICIENT BOUNDS USING FABER POLYNOMIAL FOR A NEW SUBCLASS OF MEROMORPHIC BI-UNIVALENT FUNCTIONSSibel Yalcin, Thambidurai Janani대한수학회 · 대한수학회논문집2024 · 제39권 제4호Initial Maclaurin Coefficient Bounds for New Subclasses of Analytic and m-Fold Symmetric Bi-Univalent Functions Defined by a Linear Combination스리바스타바, Abbas Kareem Wanas경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제3호
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