DLMF:35.6.E10 (Q9811)

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DLMF:35.6.E10
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    Statements

    Defining formula
    lim a → ∞ ⁡ Γ m ⁡ ( a ) ⁢ Ψ ⁡ ( a + ν ; ν + 1 2 ⁢ ( m + 1 ) ; a - 1 ⁢ 𝐓 ) = B ν ⁡ ( 𝐓 ) . subscript → 𝑎 multivariate-Euler-Gamma 𝑚 𝑎 confluent-hypergeometric-of-matrix-Psi 𝑎 𝜈 𝜈 1 2 𝑚 1 superscript 𝑎 1 𝐓 Bessel-of-matrix-B 𝜈 𝐓 {\displaystyle{\displaystyle\lim_{a\to\infty}\Gamma_{m}\left(a\right)\Psi\left% (a+\nu;\nu+\tfrac{1}{2}(m+1);a^{-1}\mathbf{T}\right)=B_{\nu}\left(\mathbf{T}% \right).}}
    0 references
    DLMF id
    DLMF:35.6.E10
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    Symbols used
    Bessel function of matrix argument (second kind)
    Defining formula
    B ν ⁡ ( 𝐓 ) Bessel-of-matrix-B 𝜈 𝐓 {\displaystyle{\displaystyle B_{\NVar{\nu}}\left(\NVar{\mathbf{T}}\right)}}
    xml-id
    C35.S5.E3.m2adec
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