Research Article

Meromorphic functions sharing small functions with their difference polynomial in several variables

Volume: 52 Number: 1 February 15, 2023
EN

Meromorphic functions sharing small functions with their difference polynomial in several variables

Abstract

The aim of this paper is to deal with the uniqueness problem on meromorphic functions in $ \mathbb{C}^{m} $ sharing small functions with their difference polynomial, and the results obtained can be seen as some extensions of previous results from one complex variable to several complex variables.

Keywords

References

  1. [1] C. Berenstein, D.C. Chang and B.Q. Li, A note on wronskians and linear dependence of entire functions, Complex var. elliptic equ. 24 (1-2), 131-144, 1994.
  2. [2] Z.X. Chen, Complex differences and difference equations, Science press, Beijing, 2013.
  3. [3] Z.X. Chen and H.X. Yi, On sharing values of meromorphic functions and their differences, Results Math. 63 (1), 557-565, 2013.
  4. [4] Y.M. Chiang and S.J. Feng, On the Nevanlinna characteristic of $f(z+\eta)$ and difference equations in the complex plane, Ramanujan J. 16 (1), 105-129, 2008.
  5. [5] N. Cui and Z.X. Chen, The conjecture on unity of meromorphic functions concerning their differences, J. difference equ. appl. 22 (10), 1452-1471, 2016.
  6. [6] H. Fujimoto, On meromorphic maps into the complex projective space, J. math. soc. Japan, 26 (2), 272-288, 1974.
  7. [7] Z.S. Gao, R. Korhonen, J.L. Zhang and Y.Y. Zhang, Uniqueness of meromorphic functions sharing values with their nth order exact differences, Anal. Math. 45 (2), 321-334, 2019.
  8. [8] G.G. Gundersen, Meromorphic functions that share two finite values with their derivative, Pacific J. Math. 105 (2), 299-309, 1983.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

February 15, 2023

Submission Date

March 21, 2022

Acceptance Date

July 11, 2022

Published in Issue

Year 2023 Volume: 52 Number: 1

APA
Wang, M., & Liu, Z. (2023). Meromorphic functions sharing small functions with their difference polynomial in several variables. Hacettepe Journal of Mathematics and Statistics, 52(1), 73-90. https://doi.org/10.15672/hujms.1090815
AMA
1.Wang M, Liu Z. Meromorphic functions sharing small functions with their difference polynomial in several variables. Hacettepe Journal of Mathematics and Statistics. 2023;52(1):73-90. doi:10.15672/hujms.1090815
Chicago
Wang, Minzhuo, and Zhixue Liu. 2023. “Meromorphic Functions Sharing Small Functions With Their Difference Polynomial in Several Variables”. Hacettepe Journal of Mathematics and Statistics 52 (1): 73-90. https://doi.org/10.15672/hujms.1090815.
EndNote
Wang M, Liu Z (February 1, 2023) Meromorphic functions sharing small functions with their difference polynomial in several variables. Hacettepe Journal of Mathematics and Statistics 52 1 73–90.
IEEE
[1]M. Wang and Z. Liu, “Meromorphic functions sharing small functions with their difference polynomial in several variables”, Hacettepe Journal of Mathematics and Statistics, vol. 52, no. 1, pp. 73–90, Feb. 2023, doi: 10.15672/hujms.1090815.
ISNAD
Wang, Minzhuo - Liu, Zhixue. “Meromorphic Functions Sharing Small Functions With Their Difference Polynomial in Several Variables”. Hacettepe Journal of Mathematics and Statistics 52/1 (February 1, 2023): 73-90. https://doi.org/10.15672/hujms.1090815.
JAMA
1.Wang M, Liu Z. Meromorphic functions sharing small functions with their difference polynomial in several variables. Hacettepe Journal of Mathematics and Statistics. 2023;52:73–90.
MLA
Wang, Minzhuo, and Zhixue Liu. “Meromorphic Functions Sharing Small Functions With Their Difference Polynomial in Several Variables”. Hacettepe Journal of Mathematics and Statistics, vol. 52, no. 1, Feb. 2023, pp. 73-90, doi:10.15672/hujms.1090815.
Vancouver
1.Minzhuo Wang, Zhixue Liu. Meromorphic functions sharing small functions with their difference polynomial in several variables. Hacettepe Journal of Mathematics and Statistics. 2023 Feb. 1;52(1):73-90. doi:10.15672/hujms.1090815