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Unique Range Set of a Meromorphic Function And Its Linear Difference Polynomial


Affiliations
1 Department of Mathematics, Karnatak University, Dharwad - 580003, India
2 Department of Mathematics, K. L. E. Society’s, Gudleppa Hallikeri College, Haveri, India
     

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In this work, we generalize the estimate of cardinality of a unique range set of meromorphic functions (URSM) and as an application we obtain the cardinality of URSM of a meromorphic function f(z) of finite order and its linear difference polynomial L(z, f). As a consequences we deduce several uniqueness of f(z) and L(z, f) sharing a set.


Keywords

Meromorphic Function; Linear Difference Polynomial; Finite Order; Unique Range Set; Nevanlinna Theory.
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  • Unique Range Set of a Meromorphic Function And Its Linear Difference Polynomial

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Authors

Renukadevi S. Dyavanal
Department of Mathematics, Karnatak University, Dharwad - 580003, India
Madhura M. Mathai
Department of Mathematics, Karnatak University, Dharwad - 580003, India
Ashwini M. Hattikal
Department of Mathematics, K. L. E. Society’s, Gudleppa Hallikeri College, Haveri, India

Abstract


In this work, we generalize the estimate of cardinality of a unique range set of meromorphic functions (URSM) and as an application we obtain the cardinality of URSM of a meromorphic function f(z) of finite order and its linear difference polynomial L(z, f). As a consequences we deduce several uniqueness of f(z) and L(z, f) sharing a set.


Keywords


Meromorphic Function; Linear Difference Polynomial; Finite Order; Unique Range Set; Nevanlinna Theory.

References





DOI: https://doi.org/10.18311/jims%2F2022%2F29306