Solutions of complex Fermat-type partial difference and differential-difference equations
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Publication:1757047
DOI10.1007/s00009-018-1274-xzbMath1403.39014OpenAlexW2900942332MaRDI QIDQ1757047
Publication date: 28 December 2018
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-018-1274-x
Analyticity in context of PDEs (35A20) Value distribution theory in higher dimensions (32H30) Partial difference equations (39A14) Difference equations in the complex domain (39A45)
Related Items (25)
On the entire solutions for several partial differential difference equations (systems) of Fermat type in \(\mathbb{C}^2\) ⋮ Transcendental entire solutions of several Fermat type PDEs and PDDEs with two complex variables ⋮ The study of solutions of several systems of nonlinear partial differential difference equations ⋮ Entire solutions for several general quadratic trinomial differential difference equations ⋮ Unnamed Item ⋮ Entire solutions of several quadratic binomial and trinomial partial differential-difference equations in \(\mathbb{C}^2\) ⋮ On solutions for several systems of complex nonlinear partial differential equations with two variables ⋮ Transcendental solutions of Fermat-type functional equations in \(\mathbb{C}^n\) ⋮ Entire and meromorphic solutions for several Fermat type partial differential difference equations in \(\mathbb{C}^2\) ⋮ The study of solutions for several systems of PDDEs with two complex variables ⋮ Solutions of Fermat-type partial differential-difference equations in \(\mathbb{C}^n\) ⋮ Factorization of complex analytic functions algebraically dependent on space curves and applications to compatible functional and differential equations ⋮ Characterizations of entire solutions for the system of Fermat-type binomial and trinomial shift equations in \(\mathbb{C}^{n\#} \) ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Class of meromorphic functions partially shared values with their differences or shifts ⋮ Unnamed Item ⋮ Notes on solutions for some systems of complex functional equations in \(\mathbb{C}^2\) ⋮ Entire solutions for complex systems of the second-order partial differential difference equations of Fermat type ⋮ Notes on the existence of entire solutions for several partial differential-difference equations ⋮ Entire solutions for several systems of nonlinear difference and partial differential-difference equations of Fermat-type ⋮ Correction to: ``Solutions of complex Fermat-type partial difference and differential-difference equations ⋮ Logarithmic difference lemma in several complex variables and partial difference equations ⋮ Entire solutions for several complex partial differential-difference equations of Fermat type in \(\mathbb{C}^2\) ⋮ Entire solutions for some Fermat type functional equations concerning difference and partial differential in \(\mathbb{C}^2\)
Cites Work
- A difference Picard theorem for meromorphic functions of several variables
- Entire solutions of Fermat type differential-difference equations
- On the Fermat-type equation \({f^3(z)+f^3(z+c)=1}\)
- A new version of the second main theorem for meromorphic mappings intersecting hyperplanes in several complex variables
- On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
- Estimates for the zeros of differences of meromorphic functions
- Modular elliptic curves and Fermat's Last Theorem
- Ring-theoretic properties of certain Hecke algebras
- On Nevanlinna's second main theorem in projective space
- On meromorphic solutions of \(f^{2} + g^{2} = 1\)
- Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
- THE TUMURA–CLUNIE THEOREM IN SEVERAL COMPLEX VARIABLES
- Finite-order meromorphic solutions and the discrete Painlevé equations
- On reduction of functional-differential equations
- On entire and meromorphic solutions of
- ON ENTIRE SOLUTIONS OF FERMAT TYPE PARTIAL DIFFERENTIAL EQUATIONS
- Malmquist type theorem and factorization of meromorphic solutions of partial differential equations
- A Note on Entire Solutions of the Eiconal Equation
- Entire and meromorphic solutions of fermat type partial differential equations
- On the equation 𝑓ⁿ+𝑔ⁿ=1
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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