Asymptotic expansion of a function defined by power series

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.

25 pages, no figures. Some new results added

References in corpus (2)

• Asymptotic formulas for partial sums of class numbers of indefinite binary quadratic forms
• Asymptotic evaluation of a function defined by power series