Infinite Order Taylor Series in Unit Cirle
Tian Hong-gen
Abstract
Tian Hong-gen
Abstract
A type-function and the order on the type-function are defined in the unit circle.Then the infinite order Taylor series in the unit circle is studied,and the relationship between the or-der on the type-function and the coefficients of Taylor series are obtained.
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A type-function and the order on the type-function are defined in the unit circle.Then the infinite order Taylor series in the unit circle is studied,and the relationship between the or-der on the type-function and the coefficients of Taylor series are obtained.
Key concepts: Taylor series, Unit circle, Series (stratigraphy), Mathematics, Unit (ring theory), Type (biology), Order (exchange), Taylor's theorem