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ArticleOriginal scientific text

Title

Uniqueness of meromorphic functions when two linear differential polynomials share the same 1-points

Authors 1

Affiliations

  1. Department of Mathematics, Jadavpur University, Calcutta 700032, India

Abstract

We prove a uniqueness theorem for meromorphic functions involving linear differential polynomials generated by them. As consequences of the main result we improve some previous results.

Keywords

ENG
uniqueness, sharing values, differential polynomial

Bibliography

  1. M. Furuta and N. Toda, On exceptional values of meromorphic functions of divergence class, J. Math. Soc. Japan 25 (1973), 667-679.
  2. F. Gross, Factorization of Meromorphic Functions, U.S. Govt. Math. Res. Center, Washington, D.C., 1972.
  3. W. K. Hayman, Meromorphic Functions, The Clarendon Press, Oxford, 1964.
  4. I. Lahiri and D. K. Sharma, The characteristic function and exceptional value of the differential polynomial of a meromorphic function, Indian J. Pure Appl. Math. 24 (1993), 779-790.
  5. P. Li and C. C. Yang, Some further results on the unique range sets of meromorphic functions, Kodai Math. J. 18 (1995), 437-450.
  6. M. Ozawa, Unicity theorems for entire functions, J. Anal. Math. 30 (1976), 411-420.
  7. K. Shibazaki, Unicity theorems for entire functions of finite order, Mem. National Defense Acad. Japan 21 (1981), no. 3, 67-71.
  8. N. Toda, On a modified deficiency of meromorphic functions, Tôhoku Math. J. 22 (1970), 635-658.
  9. C. C. Yang, On two entire functions which together with their first derivatives have the same zeros, J. Math. Anal. Appl. 56 (1976), 1-6.
  10. H. X. Yi, Meromorphic functions with two deficient values, Acta Math. Sinica 30 (1987), 588-597.
  11. H. X. Yi, Meromorphic functions that share two or three values, Kodai Math. J. 13 (1990), 363-372.
  12. H. X. Yi, A question of C. C. Yang on the uniqueness of entire functions, ibid. 13 (1990), 39-46.
  13. H. X. Yi, Unicity theorems for entire or meromorphic functions, Acta Math. Sinica (N.S.) 10 (1994), 121-131.
  14. H. X. Yi, Meromorphic functions that share one or two values, Complex Variables Theory Appl. 28 (1995), 1-11.
  15. H. X. Yi and C. C. Yang, Unicity theorems for two meromorphic functions with their first derivatives having the same 1-points, Acta Math. Sinica 34 (1991), 675-680.
  16. H. X. Yi and C. C. Yang, A uniqueness theorem for meromorphic functions whose nth derivative share the same 1-points, J. Anal. Math. 62 (1994), 261-270.
Annales Polonici Mathematici
1999/71/2
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Pages:
113-128
Main language of publication
English
Received
1997-07-28
Accepted
1998-09-24
Published
1999
Exact and natural sciences