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September 2020 Meromorphic solutions of some non-linear $q$-shift difference equations
Renukadevi S. Dyavanal, Jyoti B. Muttagi, Shilpa N.
Tbilisi Math. J. 13(3): 53-62 (September 2020). DOI: 10.32513/tbilisi/1601344898

Abstract

With the help of Nevanlinna theory, we investigate the existence of meromorphic solution of certain class of q-difference differential equations and consequently we are able to show that no transcendental meromorphic function with some conditions will satisfy such equations.

Funding Statement

The first author is supported by Ref. No. F.510/3/DRS-III/2016(SAP-I) Dated:29th Feb.2016 and the second author is supported by URS fellowship, Department of Mathematics, Karnatak University, Dharwad, Ref No. KU/Sch/URS/2017-18/468.

Citation

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Renukadevi S. Dyavanal. Jyoti B. Muttagi. Shilpa N.. "Meromorphic solutions of some non-linear $q$-shift difference equations." Tbilisi Math. J. 13 (3) 53 - 62, September 2020. https://doi.org/10.32513/tbilisi/1601344898

Information

Received: 30 July 2019; Accepted: 5 June 2020; Published: September 2020
First available in Project Euclid: 29 September 2020

MathSciNet: MR4154834
Digital Object Identifier: 10.32513/tbilisi/1601344898

Subjects:
Primary: 30D35
Secondary: 39A05

Rights: Copyright © 2020 Tbilisi Centre for Mathematical Sciences

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Vol.13 • No. 3 • September 2020
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