Open Access
September 2018 Uniqueness results related to L-functions and certain differential polynomials
Pulak Sahoo, Samar Halder
Tbilisi Math. J. 11(4): 67-78 (September 2018). DOI: 10.32513/tbilisi/1546570886

Abstract

In this paper, using the idea of weighted sharing we investigate the uniqueness problem of a meromorphic function and an $L$-function when certain differential polynomials generated by them share a nonzero finite value or have the same fixed points. Our results improve the recent results due to Liu-Li-Yi [Proc. Japan Acad. Ser. A, 93 (2017), 41-46].

Funding Statement

The second author is financially supported by UGC-NFSC scheme of research fellowship.

Acknowledgment

The authors are thankful to the referee for his/her valuable suggestions towards the improvement of the paper.

Citation

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Pulak Sahoo. Samar Halder. "Uniqueness results related to L-functions and certain differential polynomials." Tbilisi Math. J. 11 (4) 67 - 78, September 2018. https://doi.org/10.32513/tbilisi/1546570886

Information

Received: 20 December 2017; Accepted: 7 July 2018; Published: September 2018
First available in Project Euclid: 4 January 2019

zbMATH: 07172289
MathSciNet: MR3954208
Digital Object Identifier: 10.32513/tbilisi/1546570886

Subjects:
Primary: 30D35
Secondary: 11M36

Keywords: $L$-function , Differential polynomials , Nevanlinna theory , uniqueness , Weighted Sharing

Rights: Copyright © 2018 Tbilisi Centre for Mathematical Sciences

Vol.11 • No. 4 • September 2018
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