DLMF:13.16.E5 (Q4556): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:13.16.E5	No description defined

Statements

{\displaystyle{\displaystyle W_{\kappa,\mu}\left(z\right)=\frac{z^{\mu+\frac{1% }{2}}2^{-2\mu}}{\Gamma\left(\frac{1}{2}+\mu-\kappa\right)}\*\int_{1}^{\infty}e% ^{-\frac{1}{2}zt}(t-1)^{\mu-\frac{1}{2}-\kappa}(t+1)^{\mu-\frac{1}{2}+\kappa}% \mathrm{d}t,}}

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{\displaystyle{\displaystyle\Re\mu+\tfrac{1}{2}>\Re\kappa}}

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{\displaystyle{\displaystyle|\operatorname{ph}{z}|<\frac{1}{2}\pi}}

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

C5.S2.E1.m2addec

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Whittaker confluent hypergeometric function

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

C13.S14.E3.m2adec

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

C1.S4.SS4.m1addec

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base of natural logarithm

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

C4.S2.E11.m2addec

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{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3addec

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{\displaystyle{\displaystyle\operatorname{ph}}}

C1.S9.E7.m1adec

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{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1addec

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{\displaystyle{\displaystyle z}}

C13.S1.XMD6.m1ddec

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the ratio of the circumference of a circle to its diameter

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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Wikipedia(0 entries)

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