Meromorphic Function Sharinga Small Function with its Differential Polynomial
Abhijit Banerjee; Molla Basir AHAMED
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2015)
- Volume: 54, Issue: 1, page 33-45
- ISSN: 0231-9721
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topBanerjee, Abhijit, and AHAMED, Molla Basir. "Meromorphic Function Sharinga Small Function with its Differential Polynomial." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 54.1 (2015): 33-45. <http://eudml.org/doc/271631>.
@article{Banerjee2015,
abstract = {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.},
author = {Banerjee, Abhijit, AHAMED, Molla Basir},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Meromorphic function; derivative; small function; weighted sharing},
language = {eng},
number = {1},
pages = {33-45},
publisher = {Palacký University Olomouc},
title = {Meromorphic Function Sharinga Small Function with its Differential Polynomial},
url = {http://eudml.org/doc/271631},
volume = {54},
year = {2015},
}
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
PB - Palacký University Olomouc
VL - 54
IS - 1
SP - 33
EP - 45
AB - 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.
LA - eng
KW - Meromorphic function; derivative; small function; weighted sharing
UR - http://eudml.org/doc/271631
ER -
References
top- Alzahary, T. C., Yi, H. X., 10.1080/02781070410001701074, Complex Var. Theory Appl. 49, 15 (2004), 1063–1078. (2004) Zbl1067.30055MR2111304DOI10.1080/02781070410001701074
- Banerjee, A., 10.1155/IJMMS.2005.3587, Int. J. Math. Math. Sci. 22 (2005), 3587–3598. (2005) Zbl1093.30024MR2205158DOI10.1155/IJMMS.2005.3587
- Brück, R., 10.1007/BF03322176, Results in Math. 30 (1996), 21–24. (1996) MR1402421DOI10.1007/BF03322176
- T. Chuang, C., On differential polynomials, In: Analysis Of One Complex Variable (Laramie, Wyo., 1985) World Sci. Publishing, Singapore, 1987, 12–32. (1987) Zbl0643.30022MR0921876
- Doeringer, W., 10.2140/pjm.1982.98.55, Pacific J. Math. 98, 1 (1982), 55–62. (1982) Zbl0445.30025MR0644937DOI10.2140/pjm.1982.98.55
- Hayman, W. K., Meromorphic Functions, The Clarendon Press, Oxford, 1964. (1964) Zbl0115.06203MR0164038
- Lahiri, I., 10.1017/S0027763000027215, Nagoya Math. J. 161 (2001), 193–206. (2001) Zbl0981.30023MR1820218DOI10.1017/S0027763000027215
- Lahiri, I., 10.1080/17476930108815411, Complex Var. 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., Dewan, S., 10.2996/kmj/1050496651, Kodai Math. J. 26, 1 (2003), 95–100. (2003) Zbl1077.30025MR1966685DOI10.2996/kmj/1050496651
- Lahiri, I., Sarkar, A., Uniqueness of meromorphic function and its derivative, J. Inequal. Pure Appl. Math. 5, 1 (2004), Art. 20, 1–9. (2004) MR2048496
- Liu, L., Uniqueness of meromorphic functions that share one small function with their derivatives, J. Math. Sci.: Adv. Appl. 6, 2 (2010), 241–255. (2010) Zbl1222.30020MR2816930
- Li, N., Yang, L. Z., 10.5666/KMJ.2010.50.3.447, Kyungpook Math. J. 50 (2010), 447–454. (2010) Zbl1206.30045MR2737330DOI10.5666/KMJ.2010.50.3.447
- Mohon’ko, A. Z., On the Nevanlinna characteristics of some meromorphic functions, Theory Funct. Funct. Anal. Appl. 14 (1971), 83–87. (1971) MR0298006
- Mues, E., Steinmetz, N., 10.1007/BF01303627, Manuscripta Math. 29 (1979), 195–206. (1979) Zbl0416.30028MR0545041DOI10.1007/BF01303627
- Yang, L. Z., 10.2996/kmj/1138044097, Kodai Math. J. 22 (1999), 458–464. (1999) Zbl1004.30021MR1727305DOI10.2996/kmj/1138044097
- Yi, H. X., On characteristic function of a meromorphic function and its derivative, Indian J. Math. 33, 2 (1991), 119–133. (1991) Zbl0799.30018MR1140875
- Zhang, Q. C., 10.2996/kmj/1138043871, Kodai Math. J. 21 (1998), 179–184. (1998) Zbl0932.30027MR1645603DOI10.2996/kmj/1138043871
- 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. (2005) Zbl1097.30033MR2178297
- Zhang, T. D., Lü, W. R., 10.1080/17476930802166386, Complex Var. Ellip. Eqn. 53, 9 (2008), 857–867. (2008) MR2441890DOI10.1080/17476930802166386
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