DLMF:13.7.E5 (Q4413)

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Language	Label	Description	Also known as
English	DLMF:13.7.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\left|\varepsilon_{n}(z)\right|,~{}{}\beta^{-1}% \left|\varepsilon_{n}^{\prime}(z)\right|\leq 2\alpha C_{n}\left|\frac{{\left(a% \right)_{n}}{\left(a-b+1\right)_{n}}}{n!z^{a+n}}\right|\exp\left(\frac{2\alpha% \rho C_{1}}{|z|}\right),}}

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DLMF:13.7.E5

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Symbols defined

function (locally)

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Defining formula

{\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}

C5.S2.SS3.m1addec

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exponential function

Defining formula

{\displaystyle{\displaystyle\exp\NVar{z}}}

C4.S2.E19.m2adec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5addec

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Defining formula

{\displaystyle{\displaystyle n}}

C13.S1.XMD2.m1adec

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Defining formula

{\displaystyle{\displaystyle z}}

C13.S1.XMD6.m1cdec

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coefficient (locally)

Defining formula

{\displaystyle{\displaystyle C_{n}}}

C13.S7.XMD2.m1dec

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Defining formula

{\displaystyle{\displaystyle\alpha}}

C13.S7.XMD6.m1dec

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Defining formula

{\displaystyle{\displaystyle\beta}}

C13.S7.XMD7.m1dec

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Defining formula

{\displaystyle{\displaystyle\rho}}

C13.S7.XMD8.m1dec

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Sitelinks

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