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Two linear polynomials shared by an entire function and its linear differential polynomials
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In this paper, we study a uniqueness problem of entire functions that share two linear polynomials with its linear differential polynomial. We deduce two theorems which improve some previous results given by I. Lahiri \cite{5}.
Abstract
In this paper, we study a uniqueness problem of entire functions that share two linear polynomials with its linear differential polynomial. We deduce two theorems which improve some previous results given by I. Lahiri \cite{5}.
참고문헌 (13)
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- W. K. Hayman, "Meromorphic Functions, Oxford Mathematical Monographs" (1964), Clarendon Press
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- I. Lahiri, "Weighted value sharing and uniqueness of meromorphic functions", Complex Var. Theory Appl, 46(3), pp.241~253 (2001)[DOI]
- I. Lahiri, "An entire function sharing two values with its linear differential polynomial", Bull. Aust. Math. Soc, 97(2), pp.265~273 (2018)[DOI]
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- P. Li, "When an entire function and its linear differential polynomial share two values", Illinois J. Math, 44(2), pp.349~362 (2000)[DOI]
- E. Mues, "Meromorphe Funktionen, die mit ihrer Ableitung Werte teilen", Manuscripta Math, 29(2-4), pp.195~206 (1979)[DOI]
- L. A. Rubel, "Values shared by an entire function and its derivative, in Complex analysis (Proc. Conf., Univ. Kentucky, Lexington, Ky., 1976)", Lecture Notes in Math, 599, pp.101~103 (1977), Springer
- L. Z. Yang, "Entire functions that share finite values with their derivatives", Bull. Austral. Math. Soc, 41(3), pp.337~342 (1990)[DOI]
- C. -C. Yang, "Uniqueness theory of meromorphic functions, Mathematics and its Applications, 557" (2003), Kluwer Academic Publishers Group
관련 논문AI추천
An entire function sharing a polynomial with linear differential polynomialsGoutam Kumar Ghosh대한수학회 · 대한수학회논문집2018 · 제33권 제2호Uniqueness of Entire Functions Sharing Polynomials with Their DerivativesGurudas Biswas, Pulak Sahoo경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제3호Uniqueness of meromorphic functions with their homogeneous and linear differential polynomials sharing a small functionBipul Pal, Indrajit Lahiri대한수학회 · 대한수학회보2017 · 제54권 제3호Uniqueness of Certain Non-Linear Dierential Polynomials Sharing 1-PointsAbhijit Banerjee경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제1호Uniqueness of meromorphic function with its linear differential polynomial sharing two valuesAbhijit Banerjee, Sayantan Maity대한수학회 · 대한수학회논문집2021 · 제36권 제3호UNIQUENESS PROBLEMS OF DIFFERENCE-DIFFERENTIAL POLYNOMIALS SHARING ONE VALUE OF ENTIRE FUNCTIONSHARINA P. WAGHAMORE, RAMYA MALIGI장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제1호
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