DLMF:7.5.E1 (Q2347): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Dawson’s integral / rank
 
Normal rank
Property / Symbols used: Dawson’s integral / qualifier
 
Defining formula:

F ( z ) Dawsons-integral 𝑧 {\displaystyle{\displaystyle F\left(\NVar{z}\right)}}

\DawsonsintF@{\NVar{z}}
Property / Symbols used: Dawson’s integral / qualifier
 
xml-id: C7.S2.E5.m2adec

Revision as of 01:38, 2 January 2020

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DLMF:7.5.E1
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    F ( z ) = 1 2 i π ( e - z 2 - w ( z ) ) = - 1 2 i π e - z 2 erf ( i z ) . Dawsons-integral 𝑧 1 2 𝑖 𝜋 superscript 𝑒 superscript 𝑧 2 error-function-w 𝑧 1 2 𝑖 𝜋 superscript 𝑒 superscript 𝑧 2 error-function 𝑖 𝑧 {\displaystyle{\displaystyle F\left(z\right)=\tfrac{1}{2}i\sqrt{\pi}\left(e^{-% z^{2}}-w\left(z\right)\right)=-\tfrac{1}{2}i\sqrt{\pi}e^{-z^{2}}\operatorname{% erf}\left(iz\right).}}
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    DLMF:7.5.E1
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    F ( z ) Dawsons-integral 𝑧 {\displaystyle{\displaystyle F\left(\NVar{z}\right)}}
    C7.S2.E5.m2adec
    0 references