Formula:6744

Digital Library of Mathematical Functions ID 18.35.E9

${\displaystyle{\displaystyle P^{(\lambda)}_{n}\left(\cos\phi;0,x\sin\phi\right)=P^{(\lambda)}_{n}\left(x;\phi\right).}}$

Symbols List

• ${\displaystyle{\displaystyle P^{(\NVar{\lambda})}_{\NVar{n}}\left(\NVar{x};\NVar{\phi}\right)}}$: Meixner–Pollaczek polynomial
• ${\displaystyle{\displaystyle P^{(\NVar{\lambda})}_{\NVar{n}}\left(\NVar{x};\NVar{a},\NVar{b}\right)}}$: Pollaczek polynomial
• ${\displaystyle{\displaystyle\cos\NVar{z}}}$: cosine function
• ${\displaystyle{\displaystyle\sin\NVar{z}}}$: sine function
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle x}}$: real variable
 

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