Formula:6713

Digital Library of Mathematical Functions ID 18.33.E10

${\displaystyle{\displaystyle z^{-n}\phi_{2n}(z)={A_{n}p_{n}\left(\tfrac{1}{2}(z+z^{-1})\right)+B_{n}(z-z^{-1})q_{n-1}\left(\tfrac{1}{2}(z+z^{-1})\right)},}}$

Symbols List

• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle\phi_{n}(z)}}$: polynomials
• ${\displaystyle{\displaystyle q_{n}(x)}}$: an orthogonal polynomial
• ${\displaystyle{\displaystyle p_{n}(x)}}$: an orthogonal polynomial
• ${\displaystyle{\displaystyle A_{n}}}$: coefficient
• ${\displaystyle{\displaystyle B_{n}}}$: coefficient
 

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