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

Indrajit Lahiri

Annales Polonici Mathematici (1999)

  • Volume: 71, Issue: 2, page 113-128
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Indrajit Lahiri. "Uniqueness of meromorphic functions when two linear differential polynomials share the same 1-points." Annales Polonici Mathematici 71.2 (1999): 113-128. <http://eudml.org/doc/262554>.

@article{IndrajitLahiri1999,
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.},
author = {Indrajit Lahiri},
journal = {Annales Polonici Mathematici},
keywords = {uniqueness; sharing values; differential polynomial; linear differential polynomials},
language = {eng},
number = {2},
pages = {113-128},
title = {Uniqueness of meromorphic functions when two linear differential polynomials share the same 1-points},
url = {http://eudml.org/doc/262554},
volume = {71},
year = {1999},
}

TY - JOUR
AU - Indrajit Lahiri
TI - Uniqueness of meromorphic functions when two linear differential polynomials share the same 1-points
JO - Annales Polonici Mathematici
PY - 1999
VL - 71
IS - 2
SP - 113
EP - 128
AB - 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.
LA - eng
KW - uniqueness; sharing values; differential polynomial; linear differential polynomials
UR - http://eudml.org/doc/262554
ER -

References

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  2. [2] F. Gross, Factorization of Meromorphic Functions, U.S. Govt. Math. Res. Center, Washington, D.C., 1972. Zbl0266.30006
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  4. [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. Zbl0816.30024
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  6. [6] M. Ozawa, Unicity theorems for entire functions, J. Anal. Math. 30 (1976), 411-420. Zbl0337.30020
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  11. [11] H. X. Yi, Meromorphic functions that share two or three values, Kodai Math. J. 13 (1990), 363-372. Zbl0712.30029
  12. [12] H. X. Yi, A question of C. C. Yang on the uniqueness of entire functions, ibid. 13 (1990), 39-46. Zbl0707.30022
  13. [13] H. X. Yi, Unicity theorems for entire or meromorphic functions, Acta Math. Sinica (N.S.) 10 (1994), 121-131. Zbl0806.30022
  14. [14] H. X. Yi, Meromorphic functions that share one or two values, Complex Variables Theory Appl. 28 (1995), 1-11. Zbl0841.30027
  15. [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. Zbl0736.30021
  16. [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. Zbl0799.30019

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