A note on power of meromorphic function and its shift operator of certain hyper-order sharing one small function and a value

  • A. Banerjee University of Kalyani, West Bengal, India
  • A. Roy University of Kalyani, West Bengal, India
Keywords: Meromorphic function, small function, uniqueness, linear shift delay differential operator, hyper-order.

Abstract

In this article, we obtain two results on $n$ the power of a meromorphic function and its shift operator sharing a small function together with a value which improve and complement some earlier results. In particular, more or less we have improved and extended two results of Qi-Yang [Meromorphic functions that share values with their shifts or their $n$-th order differences, Analysis Math., 46(4)2020, 843-865] by dispelling the superfluous conclusions in them.

Author Biographies

A. Banerjee, University of Kalyani, West Bengal, India

Associate Professor, Department of Mathematics, University of Kalyani, West Bengal, India

A. Roy, University of Kalyani, West Bengal, India

Department of Mathematics, University of Kalyani, West Bengal, India

References

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Published
2021-03-04
How to Cite
1.
Banerjee A, Roy A. A note on power of meromorphic function and its shift operator of certain hyper-order sharing one small function and a value. Mat. Stud. [Internet]. 2021Mar.4 [cited 2021Nov.28];55(1):57-3. Available from: http://matstud.org.ua/ojs/index.php/matstud/article/view/117
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Articles