Formula:6349

Digital Library of Mathematical Functions ID 18.12.E10

${\displaystyle{\displaystyle\frac{1}{1-2xz+z^{2}}=\sum_{n=0}^{\infty}U_{n}\left(x\right)z^{n},}}$

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle U_{\NVar{n}}\left(\NVar{x}\right)}}$: Chebyshev polynomial of the second kind
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle x}}$: real variable
 

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