DLMF:19.12.E2 (Q6299)

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Language	Label	Description	Also known as
English	DLMF:19.12.E2	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle E\left(k\right)=1+\frac{1}{2}\sum_{m=0}^{\infty}% \frac{{\left(\tfrac{1}{2}\right)_{m}}{\left(\tfrac{3}{2}\right)_{m}}}{{\left(2% \right)_{m}}m!}{k^{\prime}}^{2m+2}\*\left(\ln\left(\frac{1}{k^{\prime}}\right)% +d(m)-\frac{1}{(2m+1)(2m+2)}\right),}}

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DLMF:19.12.E2

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{\displaystyle{\displaystyle|k^{\prime}|<1}}

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Defining formula

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

C5.S2.SS3.m1aadec

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Defining formula

{\displaystyle{\displaystyle E\left(\NVar{k}\right)}}

C19.S2.E8.m2adec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5aadec

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principal branch of logarithm function

Defining formula

{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2aadec

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Defining formula

{\displaystyle{\displaystyle m}}

C19.S1.XMD2.m1adec

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Defining formula

{\displaystyle{\displaystyle k}}

C19.S1.XMD5.m1adec

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Defining formula

{\displaystyle{\displaystyle k^{\prime}}}

C19.S1.XMD6.m1adec

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Defining formula

{\displaystyle{\displaystyle d(m)}}

C19.S12.XMD1.m1adec

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