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- Dawson_function abstract "In mathematics, the Dawson function or Dawson integral (named for John M. Dawson) is either,also denoted as F(x) or D(x), or alternatively.The Dawson function is the one-sided Fourier-Laplace sine transform of the Gaussian function,It is closely related to the error function erf, aswhere erfi is the imaginary error function, erfi(x) = −i erf(ix). Similarly,in terms of the real error function, erf.In terms of either erfi or the Faddeeva function w(z), the Dawson function can be extended to the entire complex plane:,which simplifies tofor real x.For |x| near zero, F(x) ≈ x, and for |x| large, F(x) ≈ 1/(2x).More specifically, near the origin it has the series expansion F(x) satisfies the differential equationwith the initial condition F(0) = 0.".
- Dawson_function thumbnail Dawson+_Function.svg?width=300.
- Dawson_function wikiPageExternalLink Faddeeva.
- Dawson_function wikiPageExternalLink pg=302.
- Dawson_function wikiPageExternalLink DawsonsIntegral.html.
- Dawson_function wikiPageExternalLink errorfun.pdf.
- Dawson_function wikiPageExternalLink Dawson-Function.html.
- Dawson_function wikiPageExternalLink Cephes.
- Dawson_function wikiPageID "406903".
- Dawson_function wikiPageRevisionID "542510689".
- Dawson_function first "N. M.".
- Dawson_function hasPhotoCollection Dawson_function.
- Dawson_function id "7".
- Dawson_function last "Temme".
- Dawson_function title "Error Functions, Dawson’s and Fresnel Integrals".
- Dawson_function subject Category:Gaussian_function.
- Dawson_function subject Category:Special_functions.
- Dawson_function type Abstraction100002137.
- Dawson_function type Function113783816.
- Dawson_function type MathematicalRelation113783581.
- Dawson_function type Relation100031921.
- Dawson_function type SpecialFunctions.
- Dawson_function comment "In mathematics, the Dawson function or Dawson integral (named for John M. Dawson) is either,also denoted as F(x) or D(x), or alternatively.The Dawson function is the one-sided Fourier-Laplace sine transform of the Gaussian function,It is closely related to the error function erf, aswhere erfi is the imaginary error function, erfi(x) = −i erf(ix).".
- Dawson_function label "Dawson function".
- Dawson_function label "Fonction de Dawson".
- Dawson_function label "Функция Доусона".
- Dawson_function sameAs Fonction_de_Dawson.
- Dawson_function sameAs m.024j_t.
- Dawson_function sameAs Q3055353.
- Dawson_function sameAs Q3055353.
- Dawson_function sameAs Dawson_function.
- Dawson_function wasDerivedFrom Dawson_function?oldid=542510689.
- Dawson_function depiction Dawson+_Function.svg.
- Dawson_function isPrimaryTopicOf Dawson_function.