Nonlinear differential polynomials sharing a small function
Abhijit Banerjee; Sonali Mukherjee
Archivum Mathematicum (2008)
- Volume: 044, Issue: 1, page 41-56
- ISSN: 0044-8753
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topBanerjee, Abhijit, and Mukherjee, Sonali. "Nonlinear differential polynomials sharing a small function." Archivum Mathematicum 044.1 (2008): 41-56. <http://eudml.org/doc/250292>.
@article{Banerjee2008,
abstract = {Dealing with a question of Lahiri [6] we study the uniqueness problem of meromorphic functions concerning two nonlinear differential polynomials sharing a small function. Our results will not only improve and supplement the results of Lin-Yi [16], Lahiri Sarkar [12] but also improve and supplement a very recent result of the first author [1].},
author = {Banerjee, Abhijit, Mukherjee, Sonali},
journal = {Archivum Mathematicum},
keywords = {meromorphic function; uniqueness; nonlinear differential polynomials; small function; weakly weighted sharing; meromorphic function; uniqueness; nonlinear differential polynomial; small function; weakly weighted sharing},
language = {eng},
number = {1},
pages = {41-56},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Nonlinear differential polynomials sharing a small function},
url = {http://eudml.org/doc/250292},
volume = {044},
year = {2008},
}
TY - JOUR
AU - Banerjee, Abhijit
AU - Mukherjee, Sonali
TI - Nonlinear differential polynomials sharing a small function
JO - Archivum Mathematicum
PY - 2008
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 044
IS - 1
SP - 41
EP - 56
AB - Dealing with a question of Lahiri [6] we study the uniqueness problem of meromorphic functions concerning two nonlinear differential polynomials sharing a small function. Our results will not only improve and supplement the results of Lin-Yi [16], Lahiri Sarkar [12] but also improve and supplement a very recent result of the first author [1].
LA - eng
KW - meromorphic function; uniqueness; nonlinear differential polynomials; small function; weakly weighted sharing; meromorphic function; uniqueness; nonlinear differential polynomial; small function; weakly weighted sharing
UR - http://eudml.org/doc/250292
ER -
References
top- Banerjee, A., 10.4064/ap89-3-3, Ann. Polon. Math. 89 (3) (2006), 259–272. (2006) Zbl1104.30018MR2262553DOI10.4064/ap89-3-3
- Fang, C. Y., Fang, M. L., 10.1016/S0898-1221(02)00175-X, Comput. Math. Appl. 44 (5–6) (2002), 607–617. (2002) Zbl1035.30018MR1925805DOI10.1016/S0898-1221(02)00175-X
- Fang, M. L., Hong, W., A unicity theorem for entire functions concerning differential polynomials, Indian J. Pure Appl. Math. 32 (9) (2001), 1343–1348. (2001) Zbl1005.30023MR1875450
- Frank, G., Reinders, M., 10.1080/17476939808815132, Complex Variables Theory Appl. 37 (9) (1998), 185–193. (1998) Zbl1054.30519MR1687880DOI10.1080/17476939808815132
- Hayman, W. K., Meromorphic Functions, The Clarendon Press, Oxford, 1964. (1964) Zbl0115.06203MR0164038
- Lahiri, I., Uniqueness of meromorphic functions when two linear differential polynomials share the same -points, Ann. Polon. Math. 71 (2) (1999), 113–128. (1999) Zbl0938.30022MR1703886
- Lahiri, I., 10.1155/S0161171201011036, Internat. J. Math. Math. Sci. 28 (2) (2001), 83–91. (2001) Zbl0999.30023MR1885054DOI10.1155/S0161171201011036
- Lahiri, I., Weighted sharing and uniqueness of meromorphic functions, Nagoya Math. J. 161 (2001), 193–206. (2001) Zbl0981.30023MR1820218
- Lahiri, I., 10.1080/17476930108815411, Complex Variables Theory Appl. 46 (2001), 241–253. (2001) Zbl1025.30027MR1869738DOI10.1080/17476930108815411
- Lahiri, I., Banerjee, A., Weighted sharing of two sets, Kyungpook Math. J. 46 (1) (2006), 79–87. (2006) Zbl1103.30017MR2214802
- Lahiri, I., Pal, R., 10.4134/BKMS.2006.43.1.161, Bull. Korean Math. Soc. 43 (1) (2006), 161–168. (2006) Zbl1183.30028MR2204868DOI10.4134/BKMS.2006.43.1.161
- Lahiri, I., Sarkar, A., Nonlinear differential polynomials sharing -points with weight two, Chinese J. Contemp. Math. 25 (3) (2004), 325–334. (2004) Zbl1069.30051MR2159311
- Lin, S., Lin, W. C., 10.2996/kmj/1151936441, Kodai Math. J. 29 (2006), 269–280. (2006) Zbl1126.30018MR2247436DOI10.2996/kmj/1151936441
- Lin, W. C., Uniqueness of differential polynomials and a problem of Lahiri, Pure Appl. Math. 17 (2) (2001), 104–110, (in Chinese). (2001) MR1848848
- Lin, W. C., Yi, H. X., Uniqueness theorems for meromorphic function, Indian J. Pure Appl. Math. 35 (2) (2004), 121–132. (2004) Zbl1056.30031MR2040726
- Lin, W. C., Yi, H. X., 10.1080/02781070412331298624, Complex Variables Theory Appl. 49 (11) (2004), 793–806. (2004) Zbl1067.30065MR2097218DOI10.1080/02781070412331298624
- Mohon’ko, A. Z., On the Nevanlinna characteristics of some meromorphic functions. Theory of Functions, Funct. Anal. Appl. 14 (1971), 83–87. (1971)
- Yang, C. C., On deficiencies of differential polynomials II, Math. Z. 125 (1972), 107–112. (1972) Zbl0217.38402MR0294642
- Yi, H. X., 10.1080/17476939008814415, Complex Variables Theory Appl. 14 (14) (1990), 169–176. (1990) Zbl0701.30025MR1048716DOI10.1080/17476939008814415
- Yi, H. X., On characteristic function of a meromorphic function and its derivative, Indian J. Math. 33 (2) (1991), 119–133. (1991) Zbl0799.30018MR1140875
- Yi, H. X., 10.1080/17476939508814833, Complex Variables Theory Appl. 28 (1995), 1–11. (1995) Zbl0841.30027DOI10.1080/17476939508814833
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