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

Annales Polonici Mathematici (1999)

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

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topIndrajit 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

top- [1] M. Furuta and N. Toda, On exceptional values of meromorphic functions of divergence class, J. Math. Soc. Japan 25 (1973), 667-679. Zbl0262.30031
- [2] F. Gross, Factorization of Meromorphic Functions, U.S. Govt. Math. Res. Center, Washington, D.C., 1972. Zbl0266.30006
- [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. Zbl0816.30024
- [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. Zbl0849.30025
- [6] M. Ozawa, Unicity theorems for entire functions, J. Anal. Math. 30 (1976), 411-420. Zbl0337.30020
- [7] K. Shibazaki, Unicity theorems for entire functions of finite order, Mem. National Defense Acad. Japan 21 (1981), no. 3, 67-71. Zbl0507.30022
- [8] N. Toda, On a modified deficiency of meromorphic functions, Tôhoku Math. J. 22 (1970), 635-658. Zbl0213.09202
- [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. Zbl0338.30018
- [10] H. X. Yi, Meromorphic functions with two deficient values, Acta Math. Sinica 30 (1987), 588-597. Zbl0654.30023
- [11] H. X. Yi, Meromorphic functions that share two or three values, Kodai Math. J. 13 (1990), 363-372. Zbl0712.30029
- [12] H. X. Yi, A question of C. C. Yang on the uniqueness of entire functions, ibid. 13 (1990), 39-46. Zbl0707.30022
- [13] H. X. Yi, Unicity theorems for entire or meromorphic functions, Acta Math. Sinica (N.S.) 10 (1994), 121-131. Zbl0806.30022
- [14] H. X. Yi, Meromorphic functions that share one or two values, Complex Variables Theory Appl. 28 (1995), 1-11. Zbl0841.30027
- [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] 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

## Citations in EuDML Documents

top- Abhijit Banerjee, Sonali Mukherjee, Nonlinear differential polynomials sharing a small function
- Indrajit Lahiri, Pulak Sahoo, Uniqueness of meromorphic functions when two non-linear differential polynomials share a small function
- Abhijit Banerjee, Molla Basir AHAMED, Nonlinear differential polynomials sharing a non-zero polynomial with finite weight

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