Autonomous Functions
نویسندگان
چکیده
By definition, an autonomous function is a differentially algebraic function Jon iw (or on C), every translate J, of which satisfies every algebraic differential equation that J satisfies. We find several equivalent formulations of the property of being autonomous. Our main result is that if Jis differentially algebraic and meromorphic in the full complex plane, and if g is an autonomous entire function, then Jog must be autonomous.
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