On the Fermat-type difference equation \(f^3(z)+[c_1f(z+c)+c_0f(z)]^3=E^{\alpha z+\beta}\)

DOI10.3103/S1068362321050022zbMath1482.30084OpenAlexW3213491241MaRDI QIDQ2052734

Molla Basir Ahamed

Publication date: 26 November 2021

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362321050022

zbMATH Keywords

Nevanlinna theorymeromorphic solutionfinite orderFermat-type complex difference equationWeierstrass's elliptic function

Mathematics Subject Classification ID

Additive difference equations (39A10) Meromorphic functions of one complex variable (general theory) (30D30) Functional equations for complex functions (39B32)

Related Items (5)

Entire solutions of several quadratic binomial and trinomial partial differential-difference equations in \(\mathbb{C}^2\) ⋮ Transcendental solutions of Fermat-type functional equations in \(\mathbb{C}^n\) ⋮ The periodicity of meromorphic functions when they share two sets with finite weights ⋮ Class of meromorphic functions partially shared values with their differences or shifts ⋮ On the solutions of Fermat type quadratic trinomial equations in \(\mathbb{C}^2\) generated by first order linear c-shift and partial differential operators

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