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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 1, Pages 479–494
DOI: https://doi.org/10.33048/semi.2021.18.034
(Mi semr1383)
 

This article is cited in 1 scientific paper (total in 1 paper)

Real, complex and functional analysis

On the transcendental solutions of Fermat type delay-differential and $c$-shift equations with some analogous results

A. Banerjee, T. Biswas

Department of Mathematics, University of Kalyani, Nadia, West Bengal, 741235, India
Full-text PDF (404 kB) Citations (1)
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Abstract: In this paper, we mainly investigate on the finite order transcendental entire solutions of two Fermat types delay-differential and one Fermat type $c$-shift equations, as these types were not considered earlier. Our results improve those of [13] in some sense. In addition, we also extend some recent results obtained in [18]. A handful number of examples have been provided by us to justify our certain assertion as and when required.
Keywords: Fermat type equation, delay-differential equations, shift equation, entire and meromorphic solutions, finite order, Nevanlinna theory.
Funding agency Grant number
University Grants Commission 1174/(CSIR-UGC NET DEC. 2017)
The second author is thankful to University Grant Commission (UGC), Govt. of India for financial suport under UGC-Ref. No.: 1174/(CSIR-UGC NET DEC. 2017) dated 21/01/2019.
Received November 22, 2020, published June 28, 2021
Document Type: Article
UDC: 517.9
MSC: 39B32, 34M05, 30D35
Language: English
Citation: A. Banerjee, T. Biswas, “On the transcendental solutions of Fermat type delay-differential and $c$-shift equations with some analogous results”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 479–494
Citation in format AMSBIB
\Bibitem{BanBis21}
\by A.~Banerjee, T.~Biswas
\paper On the transcendental solutions of Fermat type delay-differential and $c$-shift equations with some analogous results
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 1
\pages 479--494
\mathnet{http://mi.mathnet.ru/semr1383}
\crossref{https://doi.org/10.33048/semi.2021.18.034}
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