On transcendental entire solution of Fermat-type trinomial and binomial equations under restricted hyper-order

DOI10.2478/AMSIL-2023-0018zbMATH Open1546.39015MaRDI QIDQ6596099

Abhijit Banerjee, Author name not available (Why is that?)

Publication date: 2 September 2024

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

zbMATH Keywords

Nevanlinna theoryentire solutionhyper-ordertranscendental solutionquadratic trinomial equation

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Functional equations for complex functions (39B32)

Cites Work

• On entire solutions of some differential-difference equations
• On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
• Modular elliptic curves and Fermat's Last Theorem
• On Nevanlinna's second main theorem in projective space
• Complex delay-differential equations
• On complex analytic solutions of certain trinomial functional and partial differential equations
• Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
• Zeros of differences of meromorphic functions
• Uniqueness of meromorphic functions onC^m
• On the equation 𝑓ⁿ+𝑔ⁿ=1
• On the Functional Equation f n +g n = h n
• On the equation 𝑓ⁿ+𝑔ⁿ=1. II
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