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Uniqueness of L function with special class of meromorphic function in the light of two shared sets

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Abstract

In this article we study the uniqueness problem of an L function in the Selberg class with an arbitrary meromorphic function having finite poles sharing two sets. One of our result will extend a result of Yuan et al. (Lith Math J 58(2):249–262, 2018). Most importantly, we have pointed out a big gap in the analysis of a recent result of Sahoo and Halder (Comput Methods Funct Theory 19:601–612, 2019) which makes the validity as well as existance of most of the part of the paper under question. Ultimately we have obtained the accurate form of the result, which together with another theorem established in the paper provide an answer to a question raised by Lin and Lin (Filomat 30:3795–3806, 2016) in some sense.

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Correspondence to Arpita Kundu.

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Kundu, A., Banerjee, A. Uniqueness of L function with special class of meromorphic function in the light of two shared sets. Rend. Circ. Mat. Palermo, II. Ser 70, 1227–1244 (2021). https://doi.org/10.1007/s12215-020-00551-0

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  • DOI: https://doi.org/10.1007/s12215-020-00551-0

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