본문 바로가기
KERD
논문KCI 등재

UNIQUENESS PROBLEMS OF DIFFERENCE-DIFFERENTIAL POLYNOMIALS SHARING ONE VALUE OF ENTIRE FUNCTIONS

HARINA P. WAGHAMORE|RAMYA MALIGI
장전수학회 (Jangjeon Mathematical Society)|2017.01|Advanced Studies in Contemporary Mathematics|제27권 제1호|pp. 91-106|DOI 10.17777/ascm2017.27.1.91

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

uniquenessmeromorphic functionentire functionfinite orderdifference-differential polynomial
주제분류수학

초록

In this paper, we study the uniqueness problems of difference-differential polynomials of entire functions f and g sharing one value with counting multiplicity (CM). The results extend and improve the results of Renukadevi S. Dyavanal and Ashwini M. Hattikal [3].

Abstract

In this paper, we study the uniqueness problems of difference-differential polynomials of entire functions f and g sharing one value with counting multiplicity (CM). The results extend and improve the results of Renukadevi S. Dyavanal and Ashwini M. Hattikal [3].

참고문헌 (18)

  1. Chiang, Yik-Man, "On the Nevanlinna characteristic of f(z + ) and di erence equations in the complex plane", Ramanujan J, 16(1), pp.105~129 (2008)
  2. Dyavanal, R. S, "Uniqueness of di erence polynomials of entire functions", Appl. Math. Sci, 8, pp.3419~3424 (2014)
  3. Dyavanal, Renukadevi S., "Uniqueness of di erence-di erential polyno-mials of entire functions sharing one value", Tamkang Journal of Mathematics, 47, pp.193~206 (2016)
  4. Fang, Ming-Liang, "Uniqueness and value-sharing of entire functions", Comput. Math. Appl, 44(5-6), pp.823~831 (2002)
  5. Halburd, R. G., "Nevanlinna theory for the di erence operator", Ann. Acad. Sci. Fenn. Math, 31(2), pp.463~478 (2006)
  6. Halburd, R. G., "Meromorphic solutions of di erence equations, integrability and the discrete Painleve equations", J. Phys. A, 40(6), pp.1~38 (2007)
  7. Hayman, W. K., "Meromorphic functions" (1964), Oxford Mathematical Monographs Clarendon Press
  8. Liu, Kai, "Some results on zeros and uniqueness of di erence-di erential polynomials", Appl. Math. J. Chinese Univ. Ser. B, 27(1), pp.94~104 (2012)
  9. Lahiri, Indrajit, "Uniqueness of a meromorphic function and its derivative", JIPAM. J. Inequal. Pure Appl. Math, 5(1), pp.9~ (2004)
  10. Laine, Ilpo, "Value distribution of di erence polynomials", Proc. Japan Acad. Ser. A Math. Sci, 83(8), pp.148~151 (2007)
  11. Liu, Kai, "Value distribution of the di erence operator", Arch. Math. (Basel), 92(3), pp.270~278 (2009)
  12. Wang, Yao Fei, "On Mues conjecture and Picard values", Sci. China Ser. A, 36(1), pp.28~35 (1993)
  13. Wang, Yuefei, "Picard values and normal families of meromorphic functions with multiple zeros", Acta Math. Sinica (N.S.), 14(1), pp.17~26 (1998)
  14. Yang, Lo, "Value distribution theory. Translated and revised from the 1982 Chinese original" (1993), Science Press Beijing
  15. Yang, Chung-Chun, "Uniqueness and value-sharing of meromorphic functions", Ann. Acad. Sci. Fenn. Math, 22(2), pp.395~406 (1997)
  16. Yang, Chung-Chun, "Uniqueness theory of meromorphic functions" (2003), Kluwer Academic Publishers Group
  17. Zhang, Jilong, "Value distribution and shared sets of di erences of meromorphic functions", J. Math. Anal. Appl, 367(2), pp.401~408 (2010)
  18. Zhang, Xiao-Yu, "Entire or meromorphic functions sharing one value", Comput. Math. Appl, 56(7), pp.1876~1883 (2008)

관련 논문AI추천

RESULTS ON UNIQUENESS OF PRODUCT OF CERTAIN TYPE OF DIFFERENCE POLYNOMIALSHARINA P. WAGHAMORE, HUSNA VALLIJAN장전수학회 · Advanced Studies in Contemporary Mathematics2021 · 제31권 제1호WEIGHTED SHARING AND UNIQUENESS OF ENTIRE OR MEROMORPHIC FUNCTIONSSUBHAS S.BHOOSNURMATH, Veena L. Pujari대한수학회 · 대한수학회보2015 · 제52권 제1호Uniqueness and Value-Sharing of Meromorphic FunctionsA. Tanuja, HARINA P. WAGHAMORE경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제4호Two linear polynomials shared by an entire function and its linear differential polynomialsGoutam Kumar Ghosh대한수학회 · 대한수학회논문집2023 · 제38권 제2호Uniqueness of Entire Functions Sharing Polynomials with Their DerivativesGurudas Biswas, Pulak Sahoo경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제3호VALUE DISTRIBUTION AND UNIQUENESS OF CERTAIN TYPES OF DIFFERENCE POLYNOMIALSHARINA P. WAGHAMORE, RAJESHWARI S.장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제1호

이 간행물의 다른 논문 (13건)

ON A QUESTION OF SERGEI AKBAROVA. I. Shternpp. 1-6Weighted Adjacency Matrix of a Semigraph and its Spectral AnalysisN.Ravikumar, H.N. Ramaswamypp. 7-30SYMMETRIC IDENTITIES OF HIGHER-ORDER DEGENERATE q-BERNOULLI POLYNOMIALS김태균, 권혁인, 장관우pp. 31-42DECOMPOSING NORMED UNITS IN COMMUTATIVE MODULAR GROUP RINGSPeter V. Danchevpp. 43-48FOURIER SERIES OF FUNCTIONS RELATED TO BERNOULLI POLYNOMIALSToufik Mansour, 김태균, 김대산, 장관우pp. 49-62
원문 보기