논문KCI 등재
Linear differential polynomials sharing a set of the roots of unity
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In this paper we consider the uniqueness of meromorphic functions when two linear differential polynomials share a set of values. Our result improves and rectifies a result of An and Khoai.
Abstract
In this paper we consider the uniqueness of meromorphic functions when two linear differential polynomials share a set of values. Our result improves and rectifies a result of An and Khoai.
참고문헌 (10)
- V. H. An, "On uniqueness for meromorphic functions and their nth derivatives", Ann. Univ. Sci. Budapest. Sect. Comput, 47, pp.117~126 (2018)
- S. S. Bhoosnurmath, "Uniqueness and value-sharing of meromorphic functions", Comput. Math. Appl, 53(8), pp.1191~1205 (2007)[DOI]
- M. Fang, "Uniqueness and value-sharing of entire functions", Comput. Math. Appl, 44(5-6), pp.823~831 (2002)[DOI]
- M. Fang, "Entire functions that share one value", Nanjing Daxue Xuebao Shuxue Bannian Kan, 13(1), pp.44~48 (1996)
- W. K. Hayman, "Meromorphic Functions, Oxford Mathematical Monographs" (1964), Clarendon Press
- I. Lahiri, "Weighted sharing and uniqueness of meromorphic functions", Nagoya Math. J, 161, pp.193~206 (2001)[DOI]
- I. Lahiri, "Weighted value sharing and uniqueness of meromorphic functions", Complex Variables Theory Appl, 46(3), pp.241~253 (2001)[DOI]
- C. -C. Yang, "Uniqueness and value-sharing of meromorphic functions", Ann. Acad. Sci. Fenn. Math, 22(2), pp.395~406 (1997)
- C. -C. Yang, "Uniqueness theory of meromorphic functions" (2003), Kluwer Academic Publishers Group
- X. -Y. Zhang, "Entire or meromorphic functions sharing one value", Comput. Math. Appl, 56(7), pp.1876~1883 (2008)[DOI]
관련 논문AI추천
Uniqueness of meromorphic functions with their homogeneous and linear differential polynomials sharing a small functionBipul Pal, Indrajit Lahiri대한수학회 · 대한수학회보2017 · 제54권 제3호Two linear polynomials shared by an entire function and its linear differential polynomialsGoutam Kumar Ghosh대한수학회 · 대한수학회논문집2023 · 제38권 제2호An entire function sharing a polynomial with linear differential polynomialsGoutam Kumar Ghosh대한수학회 · 대한수학회논문집2018 · 제33권 제2호Uniqueness and Value-sharing of Entire FunctionsChao Meng, Xiaojuan Li경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제4호Meromorphic Functions Sharing a Small Function with their Differential PolynomialsJilong Zhang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제3호Brück Conjecture for a linear differential polynomialBipul Pal, Indrajit Lahiri대한수학회 · 대한수학회논문집2018 · 제33권 제3호
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