DLMF:7.19.E3 (Q2467): Difference between revisions

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Property / constraint
 

z = ( 1 - i x ) / ( 2 t ) 𝑧 1 𝑖 𝑥 2 𝑡 {\displaystyle{\displaystyle z=(1-ix)/(2\sqrt{t})}}

z=(1-ix)/(2\sqrt{t})
Property / constraint: z = ( 1 - i x ) / ( 2 t ) 𝑧 1 𝑖 𝑥 2 𝑡 {\displaystyle{\displaystyle z=(1-ix)/(2\sqrt{t})}} / rank
 
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Revision as of 16:09, 30 December 2019

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DLMF:7.19.E3
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    Statements

    𝖴 ( x , t ) + i 𝖵 ( x , t ) = π 4 t e z 2 erfc z , Voigt-U 𝑥 𝑡 𝑖 Voigt-V 𝑥 𝑡 𝜋 4 𝑡 superscript 𝑒 superscript 𝑧 2 complementary-error-function 𝑧 {\displaystyle{\displaystyle\mathsf{U}\left(x,t\right)+i\mathsf{V}\left(x,t% \right)=\sqrt{\frac{\pi}{4t}}e^{z^{2}}\operatorname{erfc}z,}}
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    z = ( 1 - i x ) / ( 2 t ) 𝑧 1 𝑖 𝑥 2 𝑡 {\displaystyle{\displaystyle z=(1-ix)/(2\sqrt{t})}}
    0 references