Entire and meromorphic solutions for several Fermat type partial differential difference equations in \(\mathbb{C}^2\)
DOI10.1216/RMJ.2022.52.2169OpenAlexW4313233228MaRDI QIDQ2678292
Keyu Zhang, Hong-Yan Xu, Xiu Min Zheng
Publication date: 9 January 2023
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-52/issue-6/ENTIRE-AND-MEROMORPHIC-SOLUTIONS-FOR-SEVERAL-FERMAT-TYPE-PARTIAL-DIFFERENTIAL/10.1216/rmj.2022.52.2169.full
Ordinary differential equations on complex manifolds (34M45) Other partial differential equations of complex analysis in several variables (32W50)
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- A difference Picard theorem for meromorphic functions of several variables
- Entire solutions of Fermat type differential-difference equations
- 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
- On meromorphic solutions of a linear differential-difference equation with constant coefficients
- On a differential-difference equation
- Solutions of complex Fermat-type partial difference and differential-difference equations
- Entire solutions for several second-order partial differential-difference equations of Fermat type with two complex variables
- Results on entire and meromorphic solutions for several systems of quadratic trinomial functional equations with two complex variables
- Notes on the existence of entire solutions for several partial differential-difference equations
- Meromorphic functions sharing a set with applications to difference equations
- Entire solutions for several systems of nonlinear difference and partial differential-difference equations of Fermat-type
- On the equation \(f^n(z) + g^n(z) = E^{ \alpha z+ \beta }\)
- Correction to: ``Solutions of complex Fermat-type partial difference and differential-difference equations
- Logarithmic difference lemma in several complex variables and partial difference equations
- Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
- Finite-order meromorphic solutions and the discrete Painlevé equations
- ON ENTIRE SOLUTIONS OF FERMAT TYPE 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
- Entire Solutions of
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