DLMF:7.19.E10 (Q2477): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Voigt function / rank
 
Normal rank
Property / Symbols used: Voigt function / qualifier
 
Defining formula:

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

\VoigtU@{\NVar{x}}{\NVar{t}}
Property / Symbols used: Voigt function / qualifier
 
xml-id: C7.S19.E1.m2aidec

Revision as of 13:34, 2 January 2020

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DLMF:7.19.E10
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    Statements

    𝖴 ( u a , 1 4 a 2 ) = a 0 e - a t - 1 4 t 2 cos ( u t ) d t , Voigt-U 𝑢 𝑎 1 4 superscript 𝑎 2 𝑎 superscript subscript 0 superscript 𝑒 𝑎 𝑡 1 4 superscript 𝑡 2 𝑢 𝑡 𝑡 {\displaystyle{\displaystyle\mathsf{U}\left(\frac{u}{a},\frac{1}{4a^{2}}\right% )=a\int_{0}^{\infty}e^{-at-\frac{1}{4}t^{2}}\cos\left(ut\right)\mathrm{d}t,}}
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    DLMF:7.19.E10
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    𝖴 ( x , t ) Voigt-U 𝑥 𝑡 {\displaystyle{\displaystyle\mathsf{U}\left(\NVar{x},\NVar{t}\right)}}
    C7.S19.E1.m2aidec
    0 references