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Uniqueness of a meromorphic function sharing two values CM with its difference operator

Author

Listed:
  • Mahesh Barki

    (Karnatak University
    Davangere University)

  • Renukadevi S. Dyavanal

    (Karnatak University)

  • Subhas S. Bhoosnurmath

    (Karnatak University)

Abstract

This research investigates the uniqueness of meromorphic function f(z) and its $$n^{th}$$ n th order difference operator with two shared values counting multiplicities. It generalizes the results of Yeyang Jiang and Zongxuan Chen [5] and for the case $$ n \ge 2$$ n ≥ 2 , it admits a very special generalization. Moreover, we give an example to illustrate the validity of our main result.

Suggested Citation

  • Mahesh Barki & Renukadevi S. Dyavanal & Subhas S. Bhoosnurmath, 2022. "Uniqueness of a meromorphic function sharing two values CM with its difference operator," Indian Journal of Pure and Applied Mathematics, Springer, vol. 53(4), pages 907-914, December.
    • Handle: RePEc:spr:indpam:v:53:y:2022:i:4:d:10.1007_s13226-021-00196-4
    DOI: 10.1007/s13226-021-00196-4
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