On solutions of a certain nonlinear differential-difference functional equation

We investigate all the possible finite order entire solutions of the Fermat-type differential-difference functional equation $(Af(z))^2+R^2(z)(Bf^{(m)}(z+c)+Cf^{(n)}(z))^2=Q(z)$, where $m,n\in\mathbb{N}$, $A,B,C\in\mathbb{C}\setminus\{0\}$ and $R(z)$, $Q(z)$ are nonzero polynomials. The results sign...

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Bibliographic Details
Main Authors: Rajib Mandal, Raju Biswas
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2025-07-01
Series:Mathematica Bohemica
Subjects:
Online Access:https://mb.math.cas.cz/full/150/2/mb150_2_6.pdf
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