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

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Voigt function / rank
 
Normal rank
Property / Symbols used: Voigt function / qualifier
 
Defining formula:

𝖵 ⁡ ( x , t ) Voigt-V 𝑥 𝑡 {\displaystyle{\displaystyle\mathsf{V}\left(\NVar{x},\NVar{t}\right)}}

\VoigtV@{\NVar{x}}{\NVar{t}}
Property / Symbols used: Voigt function / qualifier
 
xml-id: C7.S19.E2.m2aadec

Revision as of 13:34, 2 January 2020

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DLMF:7.19.E3
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    Statements

    Defining formula
    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,}}
    0 references
    DLMF id
    DLMF:7.19.E3
    0 references
    constraint
    z = ( 1 - i ⁢ x ) / ( 2 ⁢ t ) 𝑧 1 𝑖 𝑥 2 𝑡 {\displaystyle{\displaystyle z=(1-ix)/(2\sqrt{t})}}
    0 references
    Symbols used
    Voigt function
    Defining formula
    𝖴 ⁡ ( x , t ) Voigt-U 𝑥 𝑡 {\displaystyle{\displaystyle\mathsf{U}\left(\NVar{x},\NVar{t}\right)}}
    xml-id
    C7.S19.E1.m2aadec
    0 references
    Voigt function
    Defining formula
    𝖵 ⁡ ( x , t ) Voigt-V 𝑥 𝑡 {\displaystyle{\displaystyle\mathsf{V}\left(\NVar{x},\NVar{t}\right)}}
    xml-id
    C7.S19.E2.m2aadec
    0 references
     
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