Formula:9540

Digital Library of Mathematical Functions ID 30.4.E4

${\displaystyle{\displaystyle\mathsf{Ps}^{m}_{n}\left(x,\gamma^{2}\right)=(1-x^{2})^{\frac{1}{2}m}\sum_{k=0}^{\infty}g_{k}x^{k},}}$

Constraint(s)

${\displaystyle{\displaystyle-1\leq x\leq 1}}$

Symbols List

• ${\displaystyle{\displaystyle\mathsf{Ps}^{\NVar{m}}_{\NVar{n}}\left(\NVar{x},\NVar{\gamma^{2}}\right)}}$:
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle m}}$: nonnegative integer
• ${\displaystyle{\displaystyle n\geq m}}$: integer degree
• ${\displaystyle{\displaystyle\gamma^{2}}}$: real parameter
 

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