DLMF:18.18.E22 (Q5812)

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Language	Label	Description	Also known as
English	DLMF:18.18.E22	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle C^{(\lambda)}_{m}\left(x\right)C^{(\lambda)}_{n}% \left(x\right)=\sum_{\ell=0}^{\min(m,n)}\frac{(m+n+\lambda-2\ell)(m+n-2\ell)!}% {(m+n+\lambda-\ell)\ell!\,(m-\ell)!\,(n-\ell)!}\*\frac{{\left(\lambda\right)_{% \ell}}{\left(\lambda\right)_{m-\ell}}{\left(\lambda\right)_{n-\ell}}{\left(2% \lambda\right)_{m+n-\ell}}}{{\left(\lambda\right)_{m+n-\ell}}{\left(2\lambda% \right)_{m+n-2\ell}}}C^{(\lambda)}_{m+n-2\ell}\left(x\right).}}

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DLMF:18.18.E22

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Defining formula

{\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}

C5.S2.SS3.m1aidec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5aldec

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Defining formula

{\displaystyle{\displaystyle C^{(\NVar{\lambda})}_{\NVar{n}}\left(\NVar{x}% \right)}}

C18.S3.T1.t1.r3.m2acdec

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Defining formula

{\displaystyle{\displaystyle\ell}}

C18.S1.XMD4.m1kdec

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Defining formula

{\displaystyle{\displaystyle m}}

C18.S1.XMD5.m1cdec

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Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1udec

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Defining formula

{\displaystyle{\displaystyle x}}

C18.S2.XMD3.m1rdec

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