Asymptotic expansion of a function defined by power series

2010/06/01 by Mihail Nikitin, Nikitin, Mihail
Mathematics · #34E05 #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1006.0178

openalex publication_date 2010/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Asymptotic formulas for partial sums of class numbers of indefinite binary quadratic forms

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