On meromorphic solutions of the Fermat-type functional equations \(f(z)^3 + f(z+c)^3 = e^p\)
From MaRDI portal
Publication:2684880
DOI10.1007/s13324-023-00787-wOpenAlexW4319347055MaRDI QIDQ2684880
Publication date: 17 February 2023
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13324-023-00787-w
Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Meromorphic functions of one complex variable (general theory) (30D30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the Fermat-type equation \({f^3(z)+f^3(z+c)=1}\)
- On the value distribution theory of elliptic functions
- On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
- An extension of Picard's theorem for meromorphic functions of small hyper-order
- Order and lower order of composite meromorphic functions
- Nevanlinna theory and complex differential equations
- On the Weierstrass functions, sigma, zeta, pe, and their functional and differential equations
- On meromorphic solutions of the Fermat-type functional equation \(f(z)^n+f(z+c)^m=e^{\alpha z+\beta}\)
- Existence of meromorphic solutions of first-order difference equations
- On the equation \(f^n(z) + g^n(z) = E^{ \alpha z+ \beta }\)
- Existence of meromorphic solutions of some generalized Fermat functional equations
- Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
- Uniqueness of meromorphic functions sharing values with their shifts
- Holomorphic curves with shift-invariant hyperplane preimages
- On the Functional Equation f n +g n = h n
- On the equation 𝑓ⁿ+𝑔ⁿ=1. II
- On a Class of Meromorphic Functions
- A Generalization of a Theorem of P. Montel on Entire Functions
- Some Results on Factorisation of Meromorphic Functions
- On the functional equation \[ \sum_{i=0}^ p a_ i f_ i^{n_ i} = 1 \]
This page was built for publication: On meromorphic solutions of the Fermat-type functional equations \(f(z)^3 + f(z+c)^3 = e^p\)
