Complete characterization of finite-order transcendental entire solutions to the coupled Fermat-type difference system in C^n, with structure determined by relative exponent sizes.
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The paper gives a complete characterization of finite-order entire solutions to the stated Fermat-type system in C^n, extending prior C^2 results to higher dimensions for different choices of the exponents.
Meromorphic functions satisfying linearization-type functional differential equations in several complex variables must take restricted forms due to value distribution constraints.
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Finite Order Transcendental Entire Solutions of Coupled Fermat-Type Difference Equations in Several Complex Variables
Complete characterization of finite-order transcendental entire solutions to the coupled Fermat-type difference system in C^n, with structure determined by relative exponent sizes.
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A Complete Characterization of Finite-Order Entire Solutions to Fermat-Type Partial Differential-Difference Systems in $\mathbb{C}^n$
The paper gives a complete characterization of finite-order entire solutions to the stated Fermat-type system in C^n, extending prior C^2 results to higher dimensions for different choices of the exponents.
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Meromorphic functions and linearization phenomena in partial differential equations
Meromorphic functions satisfying linearization-type functional differential equations in several complex variables must take restricted forms due to value distribution constraints.