On Transcendental Entire Solution of Ordinary and Systems of Different Genre of Fermat-type $$\boldsymbol{q}$$-Shift Equations

DOI10.1134/S1995080223120089MaRDI QIDQ6497284

Abhijit V. Banerjee, Unnamed Author

Publication date: 6 May 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Entire functions of one complex variable (general theory) (30D20) Meromorphic functions of one complex variable (general theory) (30D30)

Cites Work

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• Entire solutions of Fermat type differential-difference equations
• On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
• Meromorphic solutions of some functional equations
• Modular elliptic curves and Fermat's Last Theorem
• On Nevanlinna's second main theorem in projective space
• The transcendental meromorphic solutions of a certain type of nonlinear 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
• Existence of entire solutions of nonlinear difference equations
• 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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