DLMF:13.29.E8 (Q4675)

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Language	Label	Description	Also known as
English	DLMF:13.29.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle w(n)\sim\frac{\sqrt{\pi}e^{\frac{1}{2}z}z^{\frac{% 1}{4}(4a-2b+1)}}{\Gamma\left(a\right)\Gamma\left(a+1-b\right)}n^{\frac{1}{4}(4% a-2b-3)}e^{-2\sqrt{nz}},}}

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DLMF:13.29.E8

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Defining formula

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

C5.S2.E1.m2adec

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asymptotic equality

Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.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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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aadec

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Defining formula

{\displaystyle{\displaystyle n}}

C13.S1.XMD2.m1edec

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Defining formula

{\displaystyle{\displaystyle z}}

C13.S1.XMD6.m1fdec

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