Meromorphic Function Sharinga Small Function with its Differential Polynomial
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 54 (2015) no. 1, pp. 33-45 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

In this paper we improve, generalize and extend a number of recent results related to a problem of meromorphic function sharing a small function with its differential polynomial which are the continuation of a result earlier obtained by R. Brück.
In this paper we improve, generalize and extend a number of recent results related to a problem of meromorphic function sharing a small function with its differential polynomial which are the continuation of a result earlier obtained by R. Brück.
Classification : 30D35
Keywords: Meromorphic function; derivative; small function; weighted sharing
@article{AUPO_2015_54_1_a2,
     author = {Banerjee, Abhijit and AHAMED, Molla Basir},
     title = {Meromorphic {Function} {Sharinga} {Small} {Function} with its {Differential} {Polynomial}},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
     pages = {33--45},
     year = {2015},
     volume = {54},
     number = {1},
     mrnumber = {3468599},
     zbl = {1345.30031},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AUPO_2015_54_1_a2/}
}
TY  - JOUR
AU  - Banerjee, Abhijit
AU  - AHAMED, Molla Basir
TI  - Meromorphic Function Sharinga Small Function with its Differential Polynomial
JO  - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY  - 2015
SP  - 33
EP  - 45
VL  - 54
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/AUPO_2015_54_1_a2/
LA  - en
ID  - AUPO_2015_54_1_a2
ER  - 
%0 Journal Article
%A Banerjee, Abhijit
%A AHAMED, Molla Basir
%T Meromorphic Function Sharinga Small Function with its Differential Polynomial
%J Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
%D 2015
%P 33-45
%V 54
%N 1
%U http://geodesic.mathdoc.fr/item/AUPO_2015_54_1_a2/
%G en
%F AUPO_2015_54_1_a2
Banerjee, Abhijit; AHAMED, Molla Basir. Meromorphic Function Sharinga Small Function with its Differential Polynomial. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 54 (2015) no. 1, pp. 33-45. http://geodesic.mathdoc.fr/item/AUPO_2015_54_1_a2/

[1] Alzahary, T. C., Yi, H. X.: Weighted value sharing and a question of I. Lahiri. Complex Var. Theory Appl. 49, 15 (2004), 1063–1078. | DOI | MR | Zbl

[2] Banerjee, A.: Meromorphic functions sharing one value. Int. J. Math. Math. Sci. 22 (2005), 3587–3598. | DOI | MR | Zbl

[3] Brück, R.: On entire functions which share one value CM with their first derivative. Results in Math. 30 (1996), 21–24. | DOI | MR

[4] T. Chuang, C.: On differential polynomials. In: Analysis Of One Complex Variable (Laramie, Wyo., 1985) World Sci. Publishing, Singapore, 1987, 12–32. | MR | Zbl

[5] Doeringer, W.: Exceptional values of differential polynomials. Pacific J. Math. 98, 1 (1982), 55–62. | DOI | MR | Zbl

[6] Hayman, W. K.: Meromorphic Functions. The Clarendon Press, Oxford, 1964. | MR | Zbl

[7] Lahiri, I.: Weighted sharing and uniqueness of meromorphic functions. Nagoya Math. J. 161 (2001), 193–206. | DOI | MR | Zbl

[8] Lahiri, I.: Weighted value sharing and uniqueness of meromorphic functions. Complex Var. Theory Appl. 46 (2001), 241–253. | DOI | MR | Zbl

[9] Lahiri, I., Banerjee, A.: Weighted sharing of two sets. Kyungpook Math. J. 46, 1 (2006), 79–87. | MR | Zbl

[10] Lahiri, I., Dewan, S.: Value distribution of the product of a meromorphic function and its derivative. Kodai Math. J. 26, 1 (2003), 95–100. | DOI | MR | Zbl

[11] Lahiri, I., Sarkar, A.: Uniqueness of meromorphic function and its derivative. J. Inequal. Pure Appl. Math. 5, 1 (2004), Art. 20, 1–9. | MR

[12] Liu, L.: Uniqueness of meromorphic functions that share one small function with their derivatives. J. Math. Sci.: Adv. Appl. 6, 2 (2010), 241–255. | MR | Zbl

[13] Li, N., Yang, L. Z.: Meromorphic function that shares one small function with its differential polynomial. Kyungpook Math. J. 50 (2010), 447–454. | DOI | MR | Zbl

[14] Mohon’ko, A. Z.: On the Nevanlinna characteristics of some meromorphic functions. Theory Funct. Funct. Anal. Appl. 14 (1971), 83–87. | MR

[15] Mues, E., Steinmetz, N.: Meromorphe funktionen die mit ihrer ableitung werte teilen. Manuscripta Math. 29 (1979), 195–206. | DOI | MR | Zbl

[16] Yang, L. Z.: Solution of a differential equation and its applications. Kodai Math. J. 22 (1999), 458–464. | DOI | MR | Zbl

[17] Yi, H. X.: On characteristic function of a meromorphic function and its derivative. Indian J. Math. 33, 2 (1991), 119–133. | MR | Zbl

[18] Zhang, Q. C.: The uniqueness of meromorphic functions with their derivatives. Kodai Math. J. 21 (1998), 179–184. | DOI | MR | Zbl

[19] Zhang, Q. C.: Meromorphic function that shares one small function with its derivative. J. Inequal. Pure Appl. Math. 6, 4 (2005), Art. 116, 1–13. | MR | Zbl

[20] Zhang, T. D., Lü, W. R.: Notes on meromorphic function sharing one small function with its derivative. Complex Var. Ellip. Eqn. 53, 9 (2008), 857–867. | DOI | MR