DLMF:5.4.E19 (Q2057): Difference between revisions

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English	DLMF:5.4.E19	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\psi\left(\frac{p}{q}\right)=-\gamma-\ln q-\frac{% \pi}{2}\cot\left(\frac{\pi p}{q}\right)+\frac{1}{2}\sum_{k=1}^{q-1}\cos\left(% \frac{2\pi kp}{q}\right)\ln\left(2-2\cos\left(\frac{2\pi k}{q}\right)\right).}}

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DLMF:5.4.E19

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Euler’s constant

Defining formula

{\displaystyle{\displaystyle\gamma}}

C5.S2.E3.m2aedec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2ajdec

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2adec

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cotangent function

Defining formula

{\displaystyle{\displaystyle\cot\NVar{z}}}

C4.S14.E7.m2adec

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psi (or digamma) function

Defining formula

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

C5.S2.E2.m2agdec

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principal branch of logarithm function

Defining formula

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

C4.S2.E2.m2abdec

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Defining formula

{\displaystyle{\displaystyle q}}

C5.S1.XMD10.m1dec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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