Formula:10502

Digital Library of Mathematical Functions ID 35.6.E9

${\displaystyle{\displaystyle\lim_{a\to\infty}{{}_{1}F_{1}}\left({a\atop\nu+\frac{1}{2}(m+1)};-a^{-1}\mathbf{T}\right)=\frac{A_{\nu}\left(\mathbf{T}\right)}{A_{\nu}\left(\boldsymbol{{0}}\right)}.}}$

Symbols List

• ${\displaystyle{\displaystyle A_{\NVar{\nu}}\left(\NVar{\mathbf{T}}\right)}}$:
• ${\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{\mathbf{T}}\right)}}$: generalized hypergeometric function of matrix argument
• ${\displaystyle{\displaystyle a}}$: complex variable
• ${\displaystyle{\displaystyle\mathbf{T}}}$: space of real symmetric matrices
• ${\displaystyle{\displaystyle m}}$: positive integer
 

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