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

D. Dijkstra

  • 7 Citations

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 languageUndefined
Pages (from-to)503-510
JournalMathematics of computation
Volume31
Issue number138
DOIs
StatePublished - 1977

Keywords

  • Confluent hypergeometric functions
  • Continued fractions
  • IR-75001
  • truncation error

Cite this

Dijkstra, D. / A continued fraction expansion for a generalization of Dawson's integral.

In: Mathematics of computation, Vol. 31, No. 138, 1977, p. 503-510.

Research output: ScientificArticle

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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.",
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author = "D. Dijkstra",
year = "1977",
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A continued fraction expansion for a generalization of Dawson's integral. / Dijkstra, D.

In: Mathematics of computation, Vol. 31, No. 138, 1977, p. 503-510.

Research output: ScientificArticle

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KW - Continued fractions

KW - IR-75001

KW - truncation error

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

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