Formula:991

Digital Library of Mathematical Functions ID 2.10.E33

${\displaystyle{\displaystyle f(z)\equiv\frac{1}{(1-2z\cos\alpha+z^{2})^{1/2}}=\sum_{n=0}^{\infty}P_{n}\left(\cos\alpha\right)z^{n},}}$

Constraint(s)

${\displaystyle{\displaystyle|z|<1}}$

Symbols List

• ${\displaystyle{\displaystyle P_{\NVar{n}}\left(\NVar{x}\right)}}$: Legendre polynomial
• ${\displaystyle{\displaystyle\cos\NVar{z}}}$: cosine function
• ${\displaystyle{\displaystyle\equiv}}$:
• ${\displaystyle{\displaystyle f(x)}}$: analytic function
 

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