Formula:10507

Digital Library of Mathematical Functions ID 35.7.E4

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \lim_{c\to\infty}\genhyperFmat{2}{1}@@{a,b}{c}{\mathbf{I}-c\mathbf{T}^{-1}}=|\mathbf{T}|^{b}\genhyperPsimat@{b}{b-a+\tfrac{1}{2}(m+1)}{\mathbf{T}}.}

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
• ${\displaystyle{\displaystyle\Psi\left(\NVar{a};\NVar{b};\NVar{\mathbf{T}}\right)}}$: confluent hypergeometric function of matrix argument (second kind)
• ${\displaystyle{\displaystyle a}}$: complex variable
• ${\displaystyle{\displaystyle\mathbf{T}}}$: space of real symmetric matrices
• ${\displaystyle{\displaystyle b}}$: complex variable
• ${\displaystyle{\displaystyle c}}$: complex variable
• ${\displaystyle{\displaystyle m}}$: positive integer
 

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