Indrajit Lahiri, Shyamali Dewan (2006)
Annales Polonici Mathematici
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We prove some normality criteria for a family of meromorphic functions and as an application we prove a value distribution theorem for a differential polynomial.
Sujoy Majumder (2018)
Mathematica Bohemica
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The purpose of the paper is to study the uniqueness of meromorphic functions sharing a nonzero polynomial. The result of the paper improves and generalizes the recent results due to X. B. Zhang and J. F. Xu (2011). We also solve an open problem posed in the last section of X. B. Zhang and J. F. Xu (2011).
Abhijit Banerjee, Molla Basir AHAMED (2015)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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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.
Sujoy Majumder, Rajib Mandal (2018)
Archivum Mathematicum
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The motivation of this paper is to study the uniqueness of meromorphic functions sharing a nonzero polynomial with the help of the idea of normal family. The result of the paper improves and generalizes the recent result due to Zhang and Xu [24]. Our another remarkable aim is to solve an open problem as posed in the last section of [24].
Xiu-Qing Lin, Wei-Chuan Lin (2011)
Annales Polonici Mathematici
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This paper is devoted to the study of uniqueness of meromorphic functions sharing only one value or fixed points. We improve some related results due to J. L. Zhang [Comput. Math. Appl. 56 (2008), 3079-3087] and M. L. Fang [Comput. Math. Appl. 44 (2002), 823-831], and we supplement some results given by M. L. Fang and X. H. Hua [J. Nanjing Univ. Math. Biquart. 13 (1996), 44-48] and by C. C. Yang and X. H. Hua [Ann. Acad. Sci. Fenn. Math. 22 (1997), 395-406].
Pulak Sahoo (2012)
Mathematica Bohemica
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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.
Tomasz Rodak (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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We give a description of the set of points for which the Fedoryuk condition fails in terms of the Łojasiewicz exponent at infinity near a fibre of a polynomial.
El Farissi, A., Belaidi, B. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Habib Habib, Benharrat Belaïdi (2013)
Annales Polonici Mathematici
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We investigate the growth and fixed points of meromorphic solutions of higher order linear differential equations with meromorphic coefficients and their derivatives. Our results extend the previous results due to Peng and Chen.
Benharrat Belaïdi (2011)
Publications de l'Institut Mathématique
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Shimomura, Shun (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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Abhijit Banerjee, Bikash Chakraborty (2015)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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In the paper based on the question of Zhang and Lü [15], we present one theorem which will improve and extend results of Banerjee-Majumder [2] and a recent result of Li-Huang [9].
Indrajit Lahiri (1999)
Annales Polonici Mathematici
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We prove a uniqueness theorem for meromorphic functions involving linear differential polynomials generated by them. As consequences of the main result we improve some previous results.
Yuxian Chen, Zhaojun Wu (2012)
Annales Polonici Mathematici
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This paper is devoted to exceptional values of meromorphic functions and of their derivatives on annuli. Some facts on exceptional values for meromorphic functions in the complex plane which were established by Singh, Gopalakrishna and Bhoosnurmath [Math. Ann. 191 (1971), 121-142, and Ann. Polon. Math. 35 (1977/78), 99-105] will be considered on annuli.
Indrajit Lahiri (2002)
Annales Polonici Mathematici
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We prove a uniqueness theorem for meromorphic functions involving differential polynomials which improves some previous results and provides a better answer to a question of C. C. Yang.