DLMF:18.12.E8

MaRDI QIDQ6347

• Label: DLMF:18.12.E8

Digital Library of Mathematical Functions ID 18.12.E8

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

Constraint(s)

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

Symbols List

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

Resources that cite this formula

No records found.