Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 15 (2020), 341 -- 369

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

ON THE VALUE SHARING OF SHIFT MONOMIAL OF MEROMORPHIC FUNCTIONS

Abhijit Banerjee and Tania Biswas

Abstract. We employ the notion of weighted and truncated sharing to study the uniqueness problems of generalized shift monomial sharing the same 1-points. The corollary deducted from our main results will improve a number of results of recent time. As an application of the main result we will also improve a recent result under the periphery of a more generalized shift operator. Some examples have been exhibited by us relevant to the content of the paper.

2020 Mathematics Subject Classification: Primary 30D35.
Keywords: meromorphic function, difference polynomial, uniqueness, weighted sharing, shift operator.

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Abhijit Banerjee
Department of Mathematics, University of Kalyani, Kalyani,
Nadia - 741235, West Bengal, India.
E-mail: abanerjeekal@gmail.com

Tania Biswas
Department of Mathematics, University of Kalyani, Kalyani,
Nadia - 741235, West Bengal, India.
E-mail: taniabiswas2394@gmail.com

http://www.utgjiu.ro/math/sma