December 2024 ON ENTIRE SOLUTIONS OF DIFFERENT VARIANTS OF FERMAT-TYPE PARTIAL DELAY DIFFERENTIAL EQUATIONS IN SEVERAL COMPLEX VARIABLES
Abhijit Banerjee, Goutam Haldar
Rocky Mountain J. Math. 54(6): 1535-1550 (December 2024). DOI: 10.1216/rmj.2024.54.1535

Abstract

We introduce different variants of partial delay differential operators in n which conveniently accommodate all the existing operators in the literature under one umbrella. Manipulating the operators, we extend a number of results related to the various forms of finite order transcendental entire solutions of several Fermat-type partial delay differential equations up to 3. Our results are improvements of some recent results. In addition, some examples relevant to the content of the paper are exhibited.

Citation

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Abhijit Banerjee. Goutam Haldar. "ON ENTIRE SOLUTIONS OF DIFFERENT VARIANTS OF FERMAT-TYPE PARTIAL DELAY DIFFERENTIAL EQUATIONS IN SEVERAL COMPLEX VARIABLES." Rocky Mountain J. Math. 54 (6) 1535 - 1550, December 2024. https://doi.org/10.1216/rmj.2024.54.1535

Information

Received: 23 February 2023; Accepted: 17 May 2023; Published: December 2024
First available in Project Euclid: 4 December 2024

MathSciNet: MR4836014
Digital Object Identifier: 10.1216/rmj.2024.54.1535

Subjects:
Primary: 32H30 , 39A14 , 39A45
Secondary: 30D35

Keywords: entire solutions , Fermat-type equation , Functions of several complex variables , Nevanlinna theory

Rights: Copyright © 2024 Rocky Mountain Mathematics Consortium

Vol.54 • No. 6 • December 2024
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