DLMF:32.4.E8 (Q9919)

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DLMF:32.4.E8
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    Statements

    DLMF defining formula
    𝐀 ⁢ ( z , λ ) = [ 1 4 ⁢ z 0 0 - 1 4 ⁢ z ] + [ - 1 2 ⁢ θ ∞ u 0 u 1 1 2 ⁢ θ ∞ ] ⁢ 1 λ + [ v 0 - 1 4 ⁢ z - v 1 ⁢ v 0 ( v 0 - 1 2 ⁢ z ) / v 1 1 4 ⁢ z - v 0 ] ⁢ 1 λ 2 , 𝐀 𝑧 𝜆 1 4 𝑧 0 0 1 4 𝑧 1 2 subscript 𝜃 subscript 𝑢 0 subscript 𝑢 1 1 2 subscript 𝜃 1 𝜆 subscript 𝑣 0 1 4 𝑧 subscript 𝑣 1 subscript 𝑣 0 subscript 𝑣 0 1 2 𝑧 subscript 𝑣 1 1 4 𝑧 subscript 𝑣 0 1 superscript 𝜆 2 {\displaystyle{\displaystyle\mathbf{A}(z,\lambda)=\begin{bmatrix}\tfrac{1}{4}z% &0\\ 0&-\tfrac{1}{4}z\end{bmatrix}+\begin{bmatrix}-\tfrac{1}{2}\theta_{\infty}&u_{0% }\\ u_{1}&\tfrac{1}{2}\theta_{\infty}\end{bmatrix}\dfrac{1}{\lambda}+\begin{% bmatrix}v_{0}-\tfrac{1}{4}z&-v_{1}v_{0}\\ \ifrac{(v_{0}-\tfrac{1}{2}z)}{v_{1}}&\tfrac{1}{4}z-v_{0}\end{bmatrix}\frac{1}{% \lambda^{2}},}}
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    Q10751
    DLMF defining formula
    ( a , b ) 𝑎 𝑏 {\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}
    xml-id
    introduction.Sx4.p1.t1.r29.m6addec
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    real
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C32.S1.XMD4.m1gdec
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    constant
    DLMF defining formula
    θ ∞ subscript 𝜃 {\displaystyle{\displaystyle\theta_{\infty}}}
    xml-id
    C32.S4.XMD1.m1dec
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