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

DOI:

https://doi.org/10.18311/jims/2022/29306

Keywords:

Meromorphic function, Linear difference polynomial, Finite order, Unique range set, Nevanlinna theory

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.

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Published

2022-01-27

How to Cite

Dyavanal, R. S., Mathai, M. M., & Hattikal, A. M. (2022). Unique Range Set of a Meromorphic Function And Its Linear Difference Polynomial. The Journal of the Indian Mathematical Society, 89(1-2), 44–57. https://doi.org/10.18311/jims/2022/29306

Issue

Volume 89, Issue 1-2, January-June 2022

Section

Articles

License

Copyright (c) 2022 Renukadevi S. Dyavanal, Madhura M. Mathai, Ashwini M. Hattikal

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2022-01-11
Accepted 2023-01-30
Published 2022-01-27

 

References

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