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

Authors

  • Abhijit Banerjee University of Kalyani
  • Tania Biswas University of Kalyani

Keywords:

Fermat type equation, delay-differential equations, shift equation, entire and meromorphic solutions, finite order, Nevanlinna theory., Fermat type equation, delay-differential equations, shift equation, entire and meromorphic solutions, finite order, Nevanlinna theory., Fermat type equation, delay-differential equations, shift equation, entire and meromorphic solutions, finite order, Nevanlinna theory.

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.

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Published

2021-06-28

Issue

Vol. 18 No. 1 (2021)

Section

Real, complex and functional analysis