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ABSTRACT Remainder Padé Approximation (RPA) consists in adding to the n-th partial sum of a series a suitable Padé approximant of the asymptotic expansion in the variable 1/n of the… Click to show full abstract
ABSTRACT Remainder Padé Approximation (RPA) consists in adding to the n-th partial sum of a series a suitable Padé approximant of the asymptotic expansion in the variable 1/n of the remainder term. In a previous paper, we proved the non-trivial property that the RPA of the exponential function is identical to the Padé approximant to the function . In this paper, we extend this property to the hypergeometric series and .
Keywords:
remainder pad;
pad approximants;
series;
hypergeometric series;
approximants hypergeometric
Journal Title: Integral Transforms and Special Functions
Year Published: 2019
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Journal Title: Integral Transforms and Special Functions
Year Published: 2019
Link to full text (if available)
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recommendations!