DLMF:33.2.E7 (Q9502): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:33.2.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{H^{\pm}_{\ell}}\left(\eta,\rho\right)=(\mp\mathrm% {i})^{\ell}e^{(\pi\eta/2)\pm\mathrm{i}{\sigma_{\ell}}\left(\eta\right)}W_{\mp% \mathrm{i}\eta,\ell+\frac{1}{2}}\left(\mp 2\mathrm{i}\rho\right),}}

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DLMF:33.2.E7

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Symbols defined

irregular Coulomb radial functions

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Coulomb phase shift

Defining formula

{\displaystyle{\displaystyle{\sigma_{\NVar{\ell}}}\left(\NVar{\eta}\right)}}

C33.S2.E10.m2adec

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Whittaker confluent hypergeometric function

Defining formula

{\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}

C13.S14.E3.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2abdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2acdec

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Defining formula

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

C1.S9.E1.m2acdec

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Defining formula

{\displaystyle{\displaystyle\ell}}

C33.S1.XMD2.m1fdec

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Sitelinks

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