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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Uniqueness theorems for entire functions sharing two values with partial derivatives are extended from one to several complex variables using normal families.
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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.
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Uniqueness of entire functions sharing two values with their partial derivative operators
Uniqueness theorems for entire functions sharing two values with partial derivatives are extended from one to several complex variables using normal families.