DLMF:13.14.E20 (Q4509): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:13.14.E20	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle M_{\kappa,\mu}\left(z\right)\sim\ifrac{\Gamma% \left(1+2\mu\right)e^{\frac{1}{2}z}z^{-\kappa}}{\Gamma\left(\tfrac{1}{2}+\mu-% \kappa\right)},}}

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DLMF:13.14.E20

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{\displaystyle{\displaystyle\left|\operatorname{ph}z\right|\leq\frac{1}{2}\pi-% \delta}}

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Defining formula

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

C5.S2.E1.m2ahdec

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Whittaker confluent hypergeometric function

Defining formula

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

C13.S14.E2.m2ahdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2addec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aldec

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Defining formula

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

C1.S9.E7.m1adec

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Defining formula

{\displaystyle{\displaystyle z}}

C13.S1.XMD6.m1sdec

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Defining formula

{\displaystyle{\displaystyle\delta}}

C13.S1.XMD7.m1dec

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asymptotic equality

Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.E1.m2adec

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Sitelinks

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