DLMF:16.8.E7 (Q5226): Difference between revisions

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Property / constraint
 

j = 1 , , q + 1 𝑗 1 𝑞 1 {\displaystyle{\displaystyle j=1,\dots,q+1}}

j=1,\dots,q+1
Property / constraint: j = 1 , , q + 1 𝑗 1 𝑞 1 {\displaystyle{\displaystyle j=1,\dots,q+1}} / rank
 
Normal rank

Revision as of 16:58, 30 December 2019

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DLMF:16.8.E7
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    w ~ j ( z ) = ( - z ) - a j F q q + 1 ( a j , 1 - b 1 + a j , , 1 - b q + a j 1 - a 1 + a j , * , 1 - a q + 1 + a j ; 1 z ) , subscript ~ 𝑤 𝑗 𝑧 superscript 𝑧 subscript 𝑎 𝑗 Gauss-hypergeometric-pFq 𝑞 1 𝑞 subscript 𝑎 𝑗 1 subscript 𝑏 1 subscript 𝑎 𝑗 1 subscript 𝑏 𝑞 subscript 𝑎 𝑗 1 subscript 𝑎 1 subscript 𝑎 𝑗 1 subscript 𝑎 𝑞 1 subscript 𝑎 𝑗 1 𝑧 {\displaystyle{\displaystyle\widetilde{w}_{j}(z)=(-z)^{-a_{j}}{{}_{q+1}F_{q}}% \left({a_{j},1-b_{1}+a_{j},\dots,1-b_{q}+a_{j}\atop 1-a_{1}+a_{j},\ldots*\dots% ,1-a_{q+1}+a_{j}};\frac{1}{z}\right),}}
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    j = 1 , , q + 1 𝑗 1 𝑞 1 {\displaystyle{\displaystyle j=1,\dots,q+1}}
    0 references