A class of gap series with small growth in the unit disc.
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Sons, L.R., Ye, Zhuan (2002)
International Journal of Mathematics and Mathematical Sciences
Steven B. Bank (1972)
Compositio Mathematica
Shanpeng Zeng, Indrajit Lahiri (2014)
Annales Polonici Mathematici
We prove a normality criterion for a family of meromorphic functions having multiple zeros which involves sharing of a non-zero value by the product of functions and their linear differential polynomials.
Fang, Mingliang (2000)
International Journal of Mathematics and Mathematical Sciences
Steven Bank (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Lahiri, Indrajit (2001)
International Journal of Mathematics and Mathematical Sciences
Sujoy Majumder, Somnath Saha (2018)
Mathematica Bohemica
The purpose of the paper is to study the uniqueness problems of linear differential polynomials of entire functions sharing a small function and obtain some results which improve and generalize the related results due to J. T. Li and P. Li (2015). Basically we pay our attention to the condition in Theorems 1.3, 1.4 from J. T. Li and P. Li (2015). Some examples have been exhibited to show that conditions used in the paper are sharp.
Xu, Yan, Fang, Mingliang (2004)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
Chung-Chung Yang (1975)
Collectanea Mathematica
Wang, Shupei (1995)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
Ewa Ciechanowicz, Ivan I. Marchenko (2014)
Annales Polonici Mathematici
We give an upper estimate of Petrenko's deviation for a meromorphic function of finite lower order in terms of Valiron's defect and the number p(∞,f) of separated maximum modulus points of the function. We also present examples showing that this estimate is sharp.
Lahiri Indrajit, Sujoy Majumder (2022)
Mathematica Bohemica
In connection to a conjecture of W. Lü, Q. Li and C. Yang (2014), we prove a result on small function sharing by a power of a meromorphic function with few poles with a derivative of the power. Our results improve a number of known results.
Alexander Abian (1978)
Časopis pro pěstování matematiky
Lahiri, Indrajit (2002)
Applied Mathematics E-Notes [electronic only]
A. Hinkkanen (1992)
Inventiones mathematicae
Zhuan Ye (1996)
Mathematische Zeitschrift
Rossi, John (1995)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
Hu, Peichu, Yang, Mingze (1994)
International Journal of Mathematics and Mathematical Sciences
Qiu, Huiling, Fang, Mingliang (2002)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
Banerjee, Abhijit, Majumder, Sujoy (2011)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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