Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Uniqueness of certain power of a meromorphic function sharing a set with its differential monomial
Authors: Abhijit Banerjee, Molla Basir Ahamed
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Abstract
In this paper we are mainly devoted to find out the specific form of a meromorphic function when it shares a set of small functions with its differential monomial counterpart. Our results will improve and extend some of the recent results due to Zhang-Yang [J. L. Zhang and L. Z. Yang, A power of a meromorphic function sharing a small function with its derivative, Ann. Acad. Sci. Fenn. Math. 34(2009), 249--260] and Xu-Yi-Yang [H. Y. Xu, C. F. Yi and H.~Wang, On a conjecture of R.~Bruck concerning meromorphic function sharing small functions, Revista de Matematica Teoria y Aplicaciones, 23(1)(2016), 291-308]. We provide some examples to show that certain conditions used in the paper can not be removed.Abhijit Banerjee
Department of Mathematics
University of Kalyani
West Bengal 741235, India
E-mail: ,
Molla Basir Ahamed
Department of Mathematics
Kalipada Ghosh Tarai Mahavidyalaya
West Bengal 734014, India
E-mail: ,
Department of Mathematics
University of Kalyani
West Bengal 741235, India
E-mail: ,
Molla Basir Ahamed
Department of Mathematics
Kalipada Ghosh Tarai Mahavidyalaya
West Bengal 734014, India
E-mail: ,
Fulltext
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Contents
- On (σ-δ)-rings over Noetherian rings
- On invariants and canonical form of matrices of second order with respect to semiscalar equivalence
- Resonant Riemann-Liouville Fractional Differential Equations with Periodic Boundary Conditions
- Cubic systems with degenerate infinity and invariant straight lines of total parallel multiplicity five
- Invariant integrability conditions for ternary differential systems with quadratic nonlinearities
- Nontrivial convex covers of trees
- An investment problem under multicriteriality, uncertainty and risk
- Uniqueness of certain power of a meromorphic function sharing a set with its differential monomial
- On a solution to equation with discrete multiplicative-additive derivative
