2010•arXiv (Cornell University)Open access

Asymptotic expansion of a function defined by power series

Mihail Nikitin

Open full text 0 citations

Abstract

We present a sufficient condition of existence of asymptotic expansion in negative power series for a function defined by Taylor series and unitary formulas for coefficients of this expansion. An example of computing scheme for arctangent function is represented.

Open-access reader

About this research paper

What this paper is about

We present a sufficient condition of existence of asymptotic expansion in negative power series for a function defined by Taylor series and unitary formulas for coefficients of this expansion. An example of computing scheme for arctangent function is represented.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

We present a sufficient condition of existence of asymptotic expansion in negative power series for a function defined by Taylor series and unitary formulas for coefficients of this expansion. An example of computing scheme for arctangent function is represented.

Key concepts: Asymptotic expansion, Series (stratigraphy), Power series, Mathematics, Function (biology), Series expansion, Applied mathematics, Mathematical analysis

Related papers

Back to paper searchBrowse research topicsOriginal source
Asymptotic expansion of a function defined by power series — Research Paper | ScholarLens