Formula:651

Digital Library of Mathematical Functions ID 1.17.E22

${\displaystyle{\displaystyle\delta\left(x-a\right)=\sum_{k=0}^{\infty}(k+\tfrac{1}{2})P_{k}\left(x\right)P_{k}\left(a\right).}}$

Symbols List

• ${\displaystyle{\displaystyle\delta\left(\NVar{x-a}\right)}}$:
• ${\displaystyle{\displaystyle P_{\NVar{n}}\left(\NVar{x}\right)}}$: Legendre polynomial
• ${\displaystyle{\displaystyle k}}$: integer
 

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