DLMF:8.20.E4 (Q2717)

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DLMF:8.20.E4
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    Statements

    test
    A k + 1 ⁢ ( λ ) = ( 1 - 2 ⁢ k ⁢ λ ) ⁢ A k ⁢ ( λ ) + λ ⁢ ( λ + 1 ) ⁢ d A k ⁢ ( λ ) d λ , subscript 𝐴 𝑘 1 𝜆 1 2 𝑘 𝜆 subscript 𝐴 𝑘 𝜆 𝜆 𝜆 1 derivative subscript 𝐴 𝑘 𝜆 𝜆 {\displaystyle{\displaystyle A_{k+1}(\lambda)=(1-2k\lambda)A_{k}(\lambda)+% \lambda(\lambda+1)\frac{\mathrm{d}A_{k}(\lambda)}{\mathrm{d}\lambda},}}
    0 references
    DLMF id
    DLMF:8.20.E4
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    constraint
    k = 0 , 1 , 2 , … 𝑘 0 1 2 … {\displaystyle{\displaystyle k=0,1,2,\dots}}
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    Symbols used
    derivative of $$f$$ with respect to $$x$$
    test
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    xml-id
    C1.S4.E4.m2adec
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    Q11330
    test
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C8.S1.XMD5.m1cdec
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    Q11380
    test
    A k ⁢ ( λ ) subscript 𝐴 𝑘 𝜆 {\displaystyle{\displaystyle A_{k}(\lambda)}}
    xml-id
    C8.S20.XMD1.m1dec
    0 references
     
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