DLMF:7.19.E3 (Q2467)

From DRMF
Revision as of 13:34, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:7.19.E3
No description defined

    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
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q2467&oldid=37699"