Formula:6542

Digital Library of Mathematical Functions ID 18.20.E4

${\displaystyle{\displaystyle w^{(\lambda)}(x;\phi)P^{(\lambda)}_{n}\left(x;\phi\right)=\frac{1}{n!}\delta_{x}^{n}\left(w^{(\lambda+\frac{1}{2}n)}(x;\phi)\right).}}$

Symbols List

• ${\displaystyle{\displaystyle P^{(\NVar{\lambda})}_{\NVar{n}}\left(\NVar{x};\NVar{\phi}\right)}}$: Meixner–Pollaczek polynomial
• ${\displaystyle{\displaystyle\delta_{\NVar{x}}}}$: central difference
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle x}}$: real variable
 

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