Uniqueness Concerning Derivatives of A Meromorphic Function and Its Difference Polynomial

Jump To References Section

Authors

  • Renukadevi S. Dyavanal
     Department of Mathematics, Karnatak University, Dharwad Dharwad-580003, Karnataka ,IN
  • Deepa N. Angadi
     Department of Mathematics, Karnatak University, Dharwad Dharwad-580003, Karnataka ,IN

DOI:

https://doi.org/10.18311/jims/2024/31324

Keywords:

Nevanlinna theory, Partially shared values, Linear difference polynomial, Uniqueness, Meromorphic function.

Abstract

This paper presents an investigation of the uniqueness problem of derivatives of a meromorphic function and its difference polynomial in view of a partially sharing. As a consequence of the main result, we improve the recent result of W. J. Chen and Z. G. Huang with the weaker hypotheses and also supplement several results in particular cases.

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

Downloads

Published

2024-01-01

How to Cite

Dyavanal, R. S., & Angadi, D. N. (2024). Uniqueness Concerning Derivatives of A Meromorphic Function and Its Difference Polynomial. The Journal of the Indian Mathematical Society, 91(1-2), 229–236. https://doi.org/10.18311/jims/2024/31324

Issue

Volume 91, Issue 1-2, January-June 2024

Section

Articles

License

Copyright (c) 2024 Renukadevi S. Dyavanal, Deepa N. Angadi

Creative Commons License

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

Crossref
Scopus
Google Scholar
Europe PMC
Received 2022-09-25
Accepted 2023-05-04
Published 2024-01-01

 

References

S. Chen, On uniqueness of meromorphic functions and their difference operator with partially shared values, Comput.Methods Funct. Theory 18, (2018), 529–536.

Y. M. Chiang and S. J. Feng, On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane, Ramanujian J. 16, (2008), 105–129 .

W. J. Chen and Z. G. Huang, Uniqueness of meromorphic functions concerning their derivatives and shifts with partially shared values, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), Vol. 57, (2022), 232–241.

R. S. Dyavanal, Applications of difference analogue of Cartan’s second main theorem for holomorphic curves, J. Anal, 28(2),(2020), 615-622.

R. S. Dyavanal and R. V. Desai, Uniqueness of difference polynomials of meromorphic functions with weighted sharing, Indian J. Math., 60, (2018), 439-456.

R. S. Dyavanal and M. M. Mathai, Value distribution of general differential-difference polynomials of meromorphic functions, J. Anal, 27(4), (2019),931-942.

R.S. Dyavanal and M. M. Mathai, Uniqueness of differential-difference polynomials of meromorphic functions, Ukrainian Math.J., 71(7),(2017),906-914.

R. S. Dyavanal, M. M. Mathai and A. M. Hattikal, Unicity theorems of a linear difference polynomial of entire and meromorphic functions, Indian J. Math., 61, (2019), 141-152.

R. S. Dyavanal, M. M. Mathai and A. M. Hattikal, Unique range set of a meromorphic function and it’s linear difference polynomial, J. Indian Math. Soc, Vol. 89, No. (1-2), (2022), 44-57.

R. S. Dyavanal and J. B. Muttagi, Value distribution and uniqueness of certain higher order q-difference polynomials, J. Indian Math. Soc. Vol. 88, Nos (1-2),(2021),72-87.

R. S. Dyavanal and A. M. Hattikal, Weighted sharing of uniqueness of difference polynomials of meromorphic functions, Far East journal of Mathematical Sciences, 98, (2015), 293-313.

R. S. Dyavanal and A. M. Hattikal, Uniqueness of difference-differential polynomials of entire functions sharing one value, Tamkang J. Math., 47, (2016), 193-206.

R. G. Halburd and R. J. Korhonen, Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations, J. Math. Anal. Appl. 314, (2006), 477–487.

C.C. Yang and H. X. Yi, Uniqueness Theory of Meromorphic Functions, Kluwer Academic Publishers, Dordrecht 2003, Chinese Original Science Press, Beijing, 1995.