DLMF:10.23.E1 (Q3453)

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Language	Label	Description	Also known as
English	DLMF:10.23.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathscr{C}_{\nu}\left(\lambda z\right)=\lambda^{% \pm\nu}\sum_{k=0}^{\infty}\frac{(\mp 1)^{k}(\lambda^{2}-1)^{k}(\tfrac{1}{2}z)^% {k}}{k!}\mathscr{C}_{\nu\pm k}\left(z\right),}}

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DLMF:10.23.E1

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{\displaystyle{\displaystyle|\lambda^{2}-1|<1}}

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Defining formula

{\displaystyle{\displaystyle\mathscr{C}_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S2.Px5.p1.m3adec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5adec

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Defining formula

{\displaystyle{\displaystyle k}}

C10.S1.XMD3.m1dec

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Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1dec

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