논문KCI 등재
Uniqueness of Entire Functions Sharing Polynomials with Their Derivatives
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we investigate the uniqueness problem of entire functions sharing two polynomials with their k-th derivatives. We also provide some examples to show that the conditions taken in our result are best possible.
Abstract
In this paper, we investigate the uniqueness problem of entire functions sharing two polynomials with their k-th derivatives. We also provide some examples to show that the conditions taken in our result are best possible.
참고문헌 (22)
- A. Al-Khaladi, "On meromorphic functions that share one value with their derivatives", Analysis, 25, pp.131~140 (2005)
- R. Bruck, "On entire functions which share one value CM with their first derivative", Results Math, 30, pp.21~24 (1996)
- Z. X. Chen, "On conjecture of R. Bruck concerning entire function sharing one value CM with its derivative", Taiwanese J. Math, 8, pp.235~244 (2004)
- J. Clunie, "On integral and meromorphic functions", J. London Math. Soc, 37, pp.17~27 (1962)
- G. G. Gundersen, "Meromorphic functions that share finite values with their deriva-tives", J. Math. Anal. Appl, 75, pp.441~446 (1980)
- G. G. Gundersen, "Entire functions that share one value with one or two of their derivatives", J. Math. Anal. Appl, 223, pp.88~95 (1998)
- W. K. Hayman, "Meromorphic Functions" (1964), The Clarendon Press
- G. Jank, "Meromorphe Funktionen, die mit ihrer ersten und zweiten Ableitung einen endchen Wert teilen", Complex Variables Theory Appl, 6, pp.51~71 (1986)
- I. Laine, "Nevanlinna Theory and Complex Differential Equations" (1993), Walter de Gruyter
- Weiran Lu, "On the transcendental entire solutions of a class of differential equations", 대한수학회보, 51(5), pp.1281~1289 (2014), 대한수학회
- Feng Lu, "THE BRUCK CONJECTURE AND ENTIRE FUNCTIONS SHARING POLYNOMIALS WITH THEIR k-TH DERIVATIVES", 대한수학회지, 48(3), pp.499~512 (2011), 대한수학회
- Sujoy Majumder, "A result on a conjecture of W. L\"{u}, Q. Li and C. Yang", 대한수학회보, 53(2), pp.411~421 (2016), 대한수학회
- S. Majumder, "Values shared by meromorphic functions and their derivatives", Arab J. Math. Sci, 22, pp.265~274 (2016)
- L. A. Rubel, "Values shared by an entire function and its derivative, Complex Analysis", Proc. Conf., Univ. Kentucky, pp.101~103 (1976)
- C. C. Yang, "On deficiencies of differential polynomials II", Math. Z., 125, pp.107~112 (1972)
- L. Z. Yang, "Entire functions that share finite values with their derivatives", Bull. Aust. Math. Soc., 41, pp.337~342 (1990)
- C.-C. Yang, "Uniqueness theory of meromorphic functions" (1995), Science Press
- L.-Z. Yang, "Non-existence of meromorphic solutions of Fermat Type functional equation", Aequationes Math, 76, pp.140~150 (2008)
- H. X. Yi, "On characteristic function of a meromorphic function and its derivative", Indian J. Math, 33, pp.119~133 (1991)
- Q. C. Zhang, "Meromorphic function that shares one small function with its derivative", JIPAM. J. Inequal. Pure. Appl. Math, 6, pp.13~ (2005)
- J.-L. Zhang, "Some results related to a conjecture of R. Bruck", JIPAM. Inequal. Pure Appl. Math, 8, pp.11~ (2007)
- J.-L. Zhang, "A Power of an entire function sharing one value with its derivative", Comput. Math. Appl, 60, pp.2153~2160 (2010)
관련 논문AI추천
An entire function sharing a polynomial with linear differential polynomialsGoutam Kumar Ghosh대한수학회 · 대한수학회논문집2018 · 제33권 제2호Two linear polynomials shared by an entire function and its linear differential polynomialsGoutam Kumar Ghosh대한수학회 · 대한수학회논문집2023 · 제38권 제2호On the entire function sharing one value cm with k-th derivatives손광호, Zong-Xuan Chen대한수학회 · 대한수학회지2005 · 제42권 제1호Uniqueness of meromorphic functions with their homogeneous and linear differential polynomials sharing a small functionBipul Pal, Indrajit Lahiri대한수학회 · 대한수학회보2017 · 제54권 제3호Uniqueness of Entire Functions that Share an Entire Function of Smaller Order with One of Their Linear Differential PolynomialsHong-Xun Yi, Xiao-Min Li경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제3호Meromorphic Functions Sharing a Small Function with Their DerivativesJilong Zhang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제1호
이 간행물의 다른 논문 (14건)
Examples of Central Semicommutative RingsYingying Wangpp. 427-432On the Toroidal Comaximal Graph of LatticesKhadijeh Ahmad Javaheri, Atossa Parsapourpp. 433-451On A Symbolic Method for Error Estimation of a Mixed InterpolationSrinivasarao Thotapp. 453-462Some Properties of Dedekind Modules and Q-modulesShahram Motmaen, Ahmad Yousefian Darani, Mahdi Rahmatiniapp. 463-472Notes on Chain Rings and RadicalsSodnomkhorloo Tumurbat, Dagva Dayantsolmon, Tumenbayar Khulanpp. 473-479
