LII.<i>The “converging factor” in asymptotic series and the calculation of Bessel, laguerre and other functions</i>

John Airey

Type: Article

Publication Date: 1937-10-01

Citations: 63

DOI: https://doi.org/10.1080/14786443708565133

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Locations

The London Edinburgh and Dublin Philosophical Magazine and Journal of Science - View

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+	A method for the determination of converging factors, applied to the asymptotic expansions for the parabolic cylinder functions	1952	J. C. P. Miller
+ PDF Chat	Explicit Remainder Terms for Some Asymptotic Series	1955	J. Barkley Rosser
+	The Lemniscate Constants	1975	John A. Todd
+	A new expansion of the confluent hypergeometric function in terms of modified Bessel functions	1997	Julio Abad J. Sesma
+ PDF Chat	Asymptotic and factorial expansions of Euler series truncation errors via exponential polynomials	2010	Riccardo Borghi
+	Motivation for working in numerical analysis	1955	John A. Todd
+	Asymptotic Approximations to Truncation Errors of Series Representations for Special Functions	2006	Ernst Joachim Weniger
+	An Accurate Method for Terminating Asymptotic Series	1960	Glenn M. Roe
+	Forward-smooth high-order uniform Aharonov–Bohm asymptotics	2016	Michael Berry
+	An Extension of an Early Result of Stieltjes	1960	J. T. Moore

Works Cited by This (6)

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+ PDF Chat	Table des valeurs des sommes $S_k = \sum\limits_1^\infty {n^{ - k} } $	1887	T. J. Stieltjes
+ PDF Chat	XX. Tables of the numerical values of the sine-integral, cosine-integral, and exponential-integral	1870	James Glaisher
+ PDF Chat	VIII. <i>The practical importance of the confluent hypergeometric function</i>	1918	H. A. Webb John Airey
+	LIII.<i>The circular sine and cosine functions, argument log<sub><i>e</i></sub>x</i>	1935	John Airey
+	LII.<i>The circular and hyperbolic functions, argument<i>x</i>√2</i>	1935	John Airey
+ PDF Chat	Recherches sur quelques séries semi-convergentes	1886	T. J. Stieltjes