Asymptotic evaluation of a function defined by power series

2008/10/06 by Mihail Nikitin, Nikitin, Mihail
Mathematics · #34E05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:34E05

paper · pdf · doi:10.48550/arxiv.0810.0885

43 pages, no figures. Some new results added

arxiv created 2010/06/28 · arxiv updated 2010/06/30

Abstract

We present an asymptotic evaluation unitary formula for large argument values existing for defined class of functions. The asymptotic evaluation is obtained using only power series expansion coefficients of a function, what is a new result in power series analytic continuation theory.

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