DLMF:33.7.E1 (Q9538): Difference between revisions

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No description defined

Language	Label	Description	Also known as
English	DLMF:33.7.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle F_{\ell}\left(\eta,\rho\right)=\frac{\rho^{\ell+1% }2^{\ell}e^{\mathrm{i}\rho-(\pi\eta/2)}}{|\Gamma\left(\ell+1+\mathrm{i}\eta% \right)|}\int_{0}^{1}e^{-2\mathrm{i}\rho t}t^{\ell+\mathrm{i}\eta}(1-t)^{\ell-% \mathrm{i}\eta}\mathrm{d}t,}}

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DLMF:33.7.E1

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Defining formula

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

C5.S2.E1.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1adec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2adec

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Defining formula

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

C1.S9.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3adec

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regular Coulomb radial function

Defining formula

{\displaystyle{\displaystyle F_{\NVar{\ell}}\left(\NVar{\eta},\NVar{\rho}% \right)}}

C33.S2.E3.m2adec

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Defining formula

{\displaystyle{\displaystyle\ell}}

C33.S1.XMD2.m1dec

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Defining formula

{\displaystyle{\displaystyle\rho}}

C33.S1.XMD5.m1dec

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Sitelinks

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