Non linear differential polynomials sharing one value

• Autorzy: Banerjee A.
• Języki publikacji: EN

Abstrakty

EN

We prove three uniqueness theorems concerning non linear dierential polynomials which will improve and supplement some earlier results given by Yang and Hua, Lahiri.

Słowa kluczowe

EN

uniqueness theorem; meromorphic function; differential polynomials

PL

twierdzenie jednoznaczności; funkcja meromorficzna; wielomiany różniczkowe

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2007
• Tom: Vol. 40, nr 1
• Strony: 65--75
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Banerjee A.

• Department of Mathematics Kalyani Government Engineering College, West Bengal 741235, India,

Bibliografia

• [1] W. K. Hayman, Meromorphic Functions, The Clarendon Press, Oxford (1964).
• [2] I. Lahiri,Weighted value sharing and uniqueness of meromorphic functions, Complex Var. Theory Appl., Vol. 46 (2001), 241–253.
• [3] I. Lahiri, Value distribution of certain differential polynomials, Int. J. Math. Math. Sci. 28 (2001), No. 2, 83–91.
• [4] I. Lahiri and A. Banerjee, Weighted sharing of two sets, Kyungpook Math. J. Vol. 46 (2006) no. 1, 79–87.
• [5] I. Lahiri and S. Dewan, Value distribution of the product of a meromorphic function and its derivative, Kodai Math. J., Vol. 26 (2003), 95–100.
• [6] I. Lahiri and P. Sahoo, Uniqueness of non-linear differential polynomials sharing 1-points, Georgian Math. J., Vol. 12 (2005), No. 1, 131–138.
• [7] A. Z. Mohon'ko, On the Nevanlinna characteristics of some meromorphic functions, Theory of Functions, Functional Anal. Appl. 14 (1971), 83–87.
• [8] E. Mues and M. Reinders, Meromorphic functions sharing one value and unique range sets, Kodai Math. J. Vol. 18 (1995) No. 3, 515–522.
• [9] C. C. Yang, On deficiencies of differential polynomials II, Math. Z. Vol. 125 (1972), 107–112.
• [10] C. C. Yang and X. Hua, Uniqueness and value sharing of meromorphic functions, Ann. Acad. Sci. Fenn. Math. 22 (1997), 395-406.
• [11] H. X. Yi, Uniqueness of meromorphic functions and a question of C. C. Yang, Complex Variable Theory Appl. 14 (1990), No. 1-4, 169–176.
• [12] H. X. Yi, On charecteristic function of a meromorphic function and its derivative, Indian J. Math. 33 (1991), No. 2, 119–133.
• [13] H. X. Yi, Meromorphic functions that share one or two values, Complex Variable Theory Appl. 28 (1995), 1–11.