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On meromorphic solutions of a certain type of nonlinear differential-difference equation
Majumder, Sujoy
Pramanik, Debabrata
2023
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e-ISSN
2464-8728
Abstract
The main objective of the paper is to give the specific forms of the meromorphic solutions of the equation
$f^{n}(z)f(z+c)+P_{d}(z,f)=p_{1}(z)e^{\alpha_{1}(z)}+p_{2}(z)e^{\alpha_{2}(z)}$,
where $c\in \mathbb{C}\setminus\{0\}$, $P_d(z,f)$ is a differential-difference polynomial in $f$ of degree $d\leq n-1$ with small functions of $f$ as its coefficients, $p_1, p_2(\not\equiv 0)$ are rational functions and $\alpha_1$, $\alpha_2$ are non-constant polynomials.
Source
Sujoy Majumder, Debabrata Pramanik, "On meromorphic solutions of a certain type of nonlinear differential-difference equation" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.55 (2023)", EUT Edizioni Università di Trieste, Trieste, 2023, pp. 21-44
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
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