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Uniqueness of entire functions concerning differential polynomials

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In this paper, we study the uniqueness of entire functions concerning differential polynomials and deficient value. The results extend and improve Theorem 2 in Yi \cite{c:1990}.

Abstract

In this paper, we study the uniqueness of entire functions concerning differential polynomials and deficient value. The results extend and improve Theorem 2 in Yi \cite{c:1990}.

참고문헌 (13)

  1. H. Herold, "Differentialgleichungen im Komplexen" (1975), Vandenhoeck & Ruprecht
  2. X. H. Hua, "A unicity theorem for entire functions", Bull. Lond. Math. Soc, 22(5), pp.457~462 (1990)
  3. I. Lahiri, "Uniqueness of meromorphic functions as governed by their differential poly-nomials", Yokohama Math. J, 44(2), pp.147~156 (1997)
  4. I. Laine, "Nevanlinna Theory and Complex Differential Equations" (1993), Walter de Gruyter
  5. H. Milloux, "Les fonctions meromorphes et leurs derivees" (1940), Hermann et Cie.
  6. E. Mues, "On a question of C. C. Yang", Complex Var. Theory Appl, 34(1-2), pp.171~179 (1997)
  7. K. Shibazaki, "theorems for entire functions of finite order", Mem. Nat. Defense Acad, 21(3), pp.67~71 (1981)
  8. C. C. Yang, "On two entire functions which together with their first derivatives have the same zeros", J. Math. Anal. Appl, 56(1), pp.1~6 (1976)
  9. C. C. Yang, "Uniqueness Theory of Meromorphic Functions" (1995), Science Press
  10. C. C. Yang, "On the unicity theorem of meromorphic functions with deficient value", Acta Math. Sinica, 37(1), pp.62~72 (1994)
  11. L. Yang, "Value Distribution Theory and the New Researches" (1982), Science Press
  12. H. X. Yi, "Uniqueness of meromorphic functions and a question of C. C. Yang", Complex Var. Theory Appl, 14(1-4), pp.169~176 (1990)
  13. H. X. Yi, "A question of C. C. Yang on the uniqueness of entire functions", Kodai Math. J, 13(1), pp.39~46 (1990)

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