DLMF:9.6.E25 (Q2805): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:9.6.E25	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathrm{Bi}\left(z\right)=\frac{1}{3^{1/6}\Gamma% \left(\tfrac{2}{3}\right)}e^{-\zeta}{{}_{1}F_{1}}\left(\tfrac{1}{6};\tfrac{1}{% 3};2\zeta\right)+\frac{3^{5/6}}{2^{2/3}\Gamma\left(\tfrac{1}{3}\right)}\zeta^{% 2/3}e^{-\zeta}{{}_{1}F_{1}}\left(\tfrac{5}{6};\tfrac{5}{3};2\zeta\right),}}

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DLMF:9.6.E25

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Defining formula

{\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}

C9.S2.SS1.m2andec

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2abdec

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Defining formula

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

C16.S2.m7adec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2andec

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Defining formula

{\displaystyle{\displaystyle z}}

C9.S1.XMD3.m1xdec

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change of variable (locally)

Defining formula

{\displaystyle{\displaystyle\zeta}}

C9.S6.XMD1.m1mdec

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Sitelinks

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