A Continued Fraction Expansion for a Generalization of Dawson's Integral
Copyright policy )A Continued Fraction Expansion for a Generalization of Dawson's Integral
A continued fraction expansion for a generalization of Dawson’s integral is presented. An exact formula for the truncation error in terms of the confluent hypergeometric function is derived. The expansion is shown to have good convergence properties for both small and large values of the argument.
- University of Twente Netherlands
Approximation by rational functions, Classical hypergeometric functions, \({}_2F_1\), Confluent hypergeometric functions, Continued fractions, IR-75001, truncation error, Convergence and divergence of continued fractions, Continued fractions; complex-analytic aspects
Approximation by rational functions, Classical hypergeometric functions, \({}_2F_1\), Confluent hypergeometric functions, Continued fractions, IR-75001, truncation error, Convergence and divergence of continued fractions, Continued fractions; complex-analytic aspects
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).4 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!