Meromorphic functions that share a nonzero polynomial IM
Mathematica Bohemica, Tome 137 (2012) no. 3, pp. 259-274

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
We study the uniqueness theorems of meromorphic functions concerning differential polynomials sharing a nonzero polynomial IM, and obtain two theorems which will supplement two recent results due to X. M. Li and L. Gao.
We study the uniqueness theorems of meromorphic functions concerning differential polynomials sharing a nonzero polynomial IM, and obtain two theorems which will supplement two recent results due to X. M. Li and L. Gao.
DOI : 10.21136/MB.2012.142894
Classification : 30D35
Keywords: uniqueness; meromorphic function; differential polynomials
Sahoo, Pulak. Meromorphic functions that share a nonzero polynomial IM. Mathematica Bohemica, Tome 137 (2012) no. 3, pp. 259-274. doi: 10.21136/MB.2012.142894
@article{10_21136_MB_2012_142894,
     author = {Sahoo, Pulak},
     title = {Meromorphic functions that share a nonzero polynomial {IM}},
     journal = {Mathematica Bohemica},
     pages = {259--274},
     year = {2012},
     volume = {137},
     number = {3},
     doi = {10.21136/MB.2012.142894},
     mrnumber = {3112487},
     zbl = {1265.30157},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2012.142894/}
}
TY  - JOUR
AU  - Sahoo, Pulak
TI  - Meromorphic functions that share a nonzero polynomial IM
JO  - Mathematica Bohemica
PY  - 2012
SP  - 259
EP  - 274
VL  - 137
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2012.142894/
DO  - 10.21136/MB.2012.142894
LA  - en
ID  - 10_21136_MB_2012_142894
ER  - 
%0 Journal Article
%A Sahoo, Pulak
%T Meromorphic functions that share a nonzero polynomial IM
%J Mathematica Bohemica
%D 2012
%P 259-274
%V 137
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2012.142894/
%R 10.21136/MB.2012.142894
%G en
%F 10_21136_MB_2012_142894

[1] Alzahary, T. C., Yi, H. X.: Weighted value sharing and a question of I. Lahiri. Complex Var. Theory Appl. 49 (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] Bergweiler, W., Pang, X. C.: On the derivative of meromorphic functions with multiple zeros. J. Math. Anal. Appl. 278 (2003), 285-292. | DOI | MR | Zbl

[4] Fang, M. L.: A note on a problem of Hayman. Analysis (Munich) 20 (2000), 45-49. | MR | Zbl

[5] Fang, M. L., Qiu, H. L.: Meromorphic functions that share fixed points. J. Math. Anal. Appl. 268 (2002), 426-439. | DOI | MR | Zbl

[6] Hayman, W. K.: Picard values of meromorphic functions and their derivatives. Ann. Math. 70 (1959), 9-42. | DOI | MR | Zbl

[7] Hayman, W. K.: Meromorphic Functions. The Clarendon Press, Oxford (1964). | 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.: Value distribution of certain differential polynomials. Int. J. Math. Math. Sci. 28 (2001), 83-91. | DOI | MR | Zbl

[10] Lahiri, I.: On a question of Hong Xun Yi. Arch. Math., Brno 38 (2002), 119-128. | MR | Zbl

[11] Li, X. M., Gao, L.: Meromorphic functions sharing a nonzero polynomial CM. Bull. Korean Math. Soc. 47 (2010), 319-339. | DOI | MR | Zbl

[12] Yang, C. C.: On deficiencies of differential polynomials II. Math. Z. 125 (1972), 107-112. | MR | Zbl

[13] Yang, C. C., Hua, X. H.: Uniqueness and value sharing of meromorphic functions. Ann. Acad. Sci. Fenn. Math. 22 (1997), 395-406. | MR | Zbl

[14] Yang, L.: Value Distribution Theory. Springer, Berlin (1993). | MR | Zbl

[15] Yi, H. X., Yang, C. C.: Uniqueness Theory of Meromorphic Functions. Science Press, Beijing (1995).

[16] Zhang, Q. C.: Meromorphic function that shares one small function with its derivative. J. Inequal. Pure Appl. Math. 6 (2005), Paper No. 116, 13 p., electronic only. | MR | Zbl

Cité par Sources :