DLMF:1.17.E22 (Q681): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10915 / rank
 
Normal rank
Property / Symbols used: Q10915 / qualifier
 
Defining formula:

δ ( x - a ) Dirac-delta 𝑥 𝑎 {\displaystyle{\displaystyle\delta\left(\NVar{x-a}\right)}}

\Diracdelta@{\NVar{x-a}}
Property / Symbols used: Q10915 / qualifier
 
xml-id: C1.S17.SS1.p1.m2aidec

Revision as of 16:45, 1 January 2020

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DLMF:1.17.E22
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    Statements

    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).}}
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    DLMF:1.17.E22
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    δ ( x - a ) Dirac-delta 𝑥 𝑎 {\displaystyle{\displaystyle\delta\left(\NVar{x-a}\right)}}
    C1.S17.SS1.p1.m2aidec
    0 references