DLMF:33.6.E4 (Q9536)

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Language	Label	Description	Also known as
English	DLMF:33.6.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle A_{k}^{\ell}(\eta)=\dfrac{(-\mathrm{i})^{k-\ell-1% }}{(k-\ell-1)!}\*{{}_{2}F_{1}}\left(\ell+1-k,\ell+1-\mathrm{i}\eta;2\ell+2;2% \right).}}

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DLMF:33.6.E4

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Defining formula

{\displaystyle{\displaystyle{{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};% \NVar{z}\right)}}

C16.S2.m5adec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5adec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle k}}

C33.S1.XMD1.m1cdec

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Defining formula

{\displaystyle{\displaystyle\ell}}

C33.S1.XMD2.m1cdec

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Defining formula

{\displaystyle{\displaystyle\eta}}

C33.S1.XMD7.m1cdec

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Defining formula

{\displaystyle{\displaystyle A_{\ell+1}^{\ell}}}

C33.S6.XMD1.m1cdec

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