DLMF:35.7.E11 (Q9822): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: generalized hypergeometric function of matrix argument / rank
 
Normal rank
Property / Symbols used: generalized hypergeometric function of matrix argument / qualifier
 
Defining formula:

F q p ( a 1 , , a p ; b 1 , , b q ; 𝐓 ) Gauss-hypergeometric-of-matrix-pFq 𝑝 𝑞 subscript 𝑎 1 subscript 𝑎 𝑝 subscript 𝑏 1 subscript 𝑏 𝑞 𝐓 {\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots% ,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{\mathbf{T}}\right)}}

\genhyperFmat{\NVar{p}}{\NVar{q}}@{\NVar{a_{1},\dots,a_{p}}}{\NVar{b_{1},\dots,b_{q}}}{\NVar{\mathbf{T}}}
Property / Symbols used: generalized hypergeometric function of matrix argument / qualifier
 
xml-id: C35.S8.E1.m2aidec

Revision as of 14:59, 2 January 2020

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DLMF:35.7.E11
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    F 1 2 ( a , b c ; 𝐈 - α - 1 𝐓 ) Gauss-hypergeometric-of-matrix-pFq 2 1 𝑎 𝑏 𝑐 𝐈 superscript 𝛼 1 𝐓 {\displaystyle{\displaystyle{{}_{2}F_{1}}\left({a,b\atop c};\mathbf{I}-\alpha^% {-1}\mathbf{T}\right)}}
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    DLMF:35.7.E11
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    F q p ( a 1 , , a p ; b 1 , , b q ; 𝐓 ) Gauss-hypergeometric-of-matrix-pFq 𝑝 𝑞 subscript 𝑎 1 subscript 𝑎 𝑝 subscript 𝑏 1 subscript 𝑏 𝑞 𝐓 {\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots% ,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{\mathbf{T}}\right)}}
    C35.S8.E1.m2aidec
    0 references