A continued fraction expansion for a generalization of Dawson's integral

D. Dijkstra

doi:10.1090/S0025-5718-1977-0460956-3

A continued fraction expansion for a generalization of Dawson's integral

D. Dijkstra

Research output: Contribution to journal › Article › Academic

9 Citations (Scopus)

172 Downloads (Pure)

Abstract

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.

Original language	Undefined
Pages (from-to)	503-510
Journal	Mathematics of computation
Volume	31
Issue number	138
DOIs	https://doi.org/10.1090/S0025-5718-1977-0460956-3
Publication status	Published - 1977

Keywords

Confluent hypergeometric functions
Continued fractions
IR-75001
truncation error

Access to Document

10.1090/S0025-5718-1977-0460956-3

Dijkstra77continued

Cite this

@article{3a859e5150ac4c96b10788a182ee5241,

title = "A continued fraction expansion for a generalization of Dawson's integral",

abstract = "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.",

keywords = "Confluent hypergeometric functions, Continued fractions, IR-75001, truncation error",

author = "D. Dijkstra",

year = "1977",

doi = "10.1090/S0025-5718-1977-0460956-3",

language = "Undefined",

volume = "31",

pages = "503--510",

journal = "Mathematics of computation",

issn = "0025-5718",

publisher = "American Mathematical Society",

number = "138",

}

TY - JOUR

T1 - A continued fraction expansion for a generalization of Dawson's integral

AU - Dijkstra, D.

PY - 1977

Y1 - 1977

N2 - 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.

AB - 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.

KW - Confluent hypergeometric functions

KW - Continued fractions

KW - IR-75001

KW - truncation error

U2 - 10.1090/S0025-5718-1977-0460956-3

DO - 10.1090/S0025-5718-1977-0460956-3

M3 - Article

SN - 0025-5718

VL - 31

SP - 503

EP - 510

JO - Mathematics of computation

JF - Mathematics of computation

IS - 138

ER -