DLMF:16.13.E1 (Q5249): Difference between revisions

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Changed an Item: Wikidata Toolkit example test statement addition
Changed an Item: Add constraint
Property / constraint
 

max ( | x | , | y | ) < 1 𝑥 𝑦 1 {\displaystyle{\displaystyle\max\left(|x|,|y|\right)<1}}

\max\left(|x|,|y|\right)<1
Property / constraint: max ( | x | , | y | ) < 1 𝑥 𝑦 1 {\displaystyle{\displaystyle\max\left(|x|,|y|\right)<1}} / rank
 
Normal rank

Revision as of 17:58, 30 December 2019

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DLMF:16.13.E1
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    Statements

    F 1 ( α ; β , β ; γ ; x , y ) = m , n = 0 ( α ) m + n ( β ) m ( β ) n ( γ ) m + n m ! n ! x m y n , Appell-F-1 𝛼 𝛽 superscript 𝛽 𝛾 𝑥 𝑦 superscript subscript 𝑚 𝑛 0 Pochhammer 𝛼 𝑚 𝑛 Pochhammer 𝛽 𝑚 Pochhammer superscript 𝛽 𝑛 Pochhammer 𝛾 𝑚 𝑛 𝑚 𝑛 superscript 𝑥 𝑚 superscript 𝑦 𝑛 {\displaystyle{\displaystyle{F_{1}}\left(\alpha;\beta,\beta^{\prime};\gamma;x,% y\right)=\sum_{m,n=0}^{\infty}\frac{{\left(\alpha\right)_{m+n}}{\left(\beta% \right)_{m}}{\left(\beta^{\prime}\right)_{n}}}{{\left(\gamma\right)_{m+n}}m!n!% }x^{m}y^{n},}}
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    DLMF:16.13.E1
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    max ( | x | , | y | ) < 1 𝑥 𝑦 1 {\displaystyle{\displaystyle\max\left(|x|,|y|\right)<1}}
    0 references