DLMF:5.4.E17 (Q2055)

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Language	Label	Description	Also known as
English	DLMF:5.4.E17	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\Im\psi\left(\tfrac{1}{2}+iy\right)=\frac{\pi}{2}% \tanh\left(\pi y\right),}}

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DLMF:5.4.E17

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2ahdec

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psi (or digamma) function

Defining formula

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

C5.S2.E2.m2aedec

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hyperbolic tangent function

Defining formula

{\displaystyle{\displaystyle\tanh\NVar{z}}}

C4.S28.E4.m2adec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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