Formula:10514

Digital Library of Mathematical Functions ID 35.7.E11

${\displaystyle{\displaystyle{{}_{2}F_{1}}\left({a,b\atop c};\mathbf{I}-\alpha^{-1}\mathbf{T}\right)}}$

Symbols List

• ${\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{\mathbf{T}}\right)}}$: generalized hypergeometric function of matrix argument
• ${\displaystyle{\displaystyle a}}$: complex variable
• ${\displaystyle{\displaystyle\mathbf{T}}}$: space of real symmetric matrices
• ${\displaystyle{\displaystyle b}}$: complex variable
• ${\displaystyle{\displaystyle c}}$: complex variable
• ${\displaystyle{\displaystyle\alpha\to\infty}}$: parameter
 

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