DLMF:13.14.E29 (Q4521): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:13.14.E29	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathscr{W}\left\{M_{\kappa,-\mu}\left(z\right),W_% {-\kappa,\mu}\left(e^{\pm\pi\mathrm{i}}z\right)\right\}=\frac{\Gamma\left(1-2% \mu\right)}{\Gamma\left(\frac{1}{2}-\mu+\kappa\right)}e^{\mp(\frac{1}{2}-\mu)% \pi\mathrm{i}},}}

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DLMF:13.14.E29

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Defining formula

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

C5.S2.E1.m2aldec

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Whittaker confluent hypergeometric function

Defining formula

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

C13.S14.E2.m2andec

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Whittaker confluent hypergeometric function

Defining formula

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

C13.S14.E3.m2aqdec

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Defining formula

{\displaystyle{\displaystyle\mathscr{W}}}

C1.S13.Px2.p1.m3addec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aidec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aqdec

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Defining formula

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

C1.S9.E1.m2agdec

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Defining formula

{\displaystyle{\displaystyle z}}

C13.S1.XMD6.m1abdec

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Defining formula

{\displaystyle{\displaystyle\mathscr{W}}}

C1.S13.Px2.p1.m3addec

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Sitelinks

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