DLMF:5.9.E15 (Q2104)

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Language	Label	Description	Also known as
English	DLMF:5.9.E15	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\psi\left(z\right)=\ln z-\frac{1}{2z}-2\int_{0}^{% \infty}\frac{t\mathrm{d}t}{(t^{2}+z^{2})(e^{2\pi t}-1)}.}}

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DLMF:5.9.E15

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2agdec

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Defining formula

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

C1.S4.SS4.m1andec

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psi (or digamma) function

Defining formula

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

C5.S2.E2.m2acdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2ahdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3andec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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