DLMF:1.17.E22 (Q681)

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DLMF:1.17.E22
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    Statements

    Defining formula
    δ ⁡ ( x - a ) = ∑ k = 0 ∞ ( k + 1 2 ) ⁢ P k ⁡ ( x ) ⁢ P k ⁡ ( a ) . Dirac-delta 𝑥 𝑎 superscript subscript 𝑘 0 𝑘 1 2 Legendre-spherical-polynomial 𝑘 𝑥 Legendre-spherical-polynomial 𝑘 𝑎 {\displaystyle{\displaystyle\delta\left(x-a\right)=\sum_{k=0}^{\infty}(k+% \tfrac{1}{2})P_{k}\left(x\right)P_{k}\left(a\right).}}
    0 references
    DLMF id
    DLMF:1.17.E22
    0 references
    Symbols used
    Q10915
    Defining formula
    δ ⁡ ( x - a ) Dirac-delta 𝑥 𝑎 {\displaystyle{\displaystyle\delta\left(\NVar{x-a}\right)}}
    xml-id
    C1.S17.SS1.p1.m2aidec
    0 references
     
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