DLMF:30.11.E9 (Q8904)

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DLMF:30.11.E9
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    Statements

    Defining formula
    S n m ⁢ ( 2 ) ⁡ ( z , γ ) = ( n - m ) ! ( n + m ) ! ⁢ ( - 1 ) m + 1 ⁢ 𝑄𝑠 n m ⁡ ( z , γ 2 ) γ ⁢ K n m ⁢ ( γ ) ⁢ A n m ⁢ ( γ 2 ) ⁢ A n - m ⁢ ( γ 2 ) , radial-spheroidal-wave-S 𝑚 2 𝑛 𝑧 𝛾 𝑛 𝑚 𝑛 𝑚 superscript 1 𝑚 1 spheroidal-wave-Qs 𝑚 𝑛 𝑧 superscript 𝛾 2 𝛾 superscript subscript 𝐾 𝑛 𝑚 𝛾 superscript subscript 𝐴 𝑛 𝑚 superscript 𝛾 2 superscript subscript 𝐴 𝑛 𝑚 superscript 𝛾 2 {\displaystyle{\displaystyle S^{m(2)}_{n}\left(z,\gamma\right)=\frac{(n-m)!}{(% n+m)!}\frac{(-1)^{m+1}\mathit{Qs}^{m}_{n}\left(z,\gamma^{2}\right)}{\gamma K_{% n}^{m}(\gamma)A_{n}^{m}(\gamma^{2})A_{n}^{-m}(\gamma^{2})},}}
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    DLMF id
    DLMF:30.11.E9
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    Symbols used
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
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