Formula:5630

Digital Library of Mathematical Functions ID 14.20.E12

${\displaystyle{\displaystyle g(x)=\int_{0}^{\infty}P^{\mu}_{-\frac{1}{2}+i\tau}\left(x\right)f(\tau)\mathrm{d}\tau.}}$

Symbols List

• ${\displaystyle{\displaystyle P^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{z}\right)}}$: associated Legendre function of the first kind
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle\tau}}$: real variable
• ${\displaystyle{\displaystyle\mu}}$: general order
 

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