DLMF:1.14.E49 (Q541): Difference between revisions

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Latest revision as of 16:28, 1 January 2020

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Language	Label	Description	Also known as
English	DLMF:1.14.E49	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\lim_{t\to 0+}\frac{\mathcal{S}\mskip-3.0mu f% \mskip 3.0mu \left(-\sigma-it\right)-\mathcal{S}\mskip-3.0mu f\mskip 3.0mu % \left(-\sigma+it\right)}{2\pi i}=\tfrac{1}{2}(f(\sigma+)+f(\sigma-)),}}

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DLMF:1.14.E49

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Stieltjes transform

Defining formula

{\displaystyle{\displaystyle\mathcal{S}\left(\NVar{f}\right)\left(\NVar{s}% \right)}}

C1.S14.E47.m2abdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2audec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2aldec

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Defining formula

{\displaystyle{\displaystyle\sigma\in(a,b)}}

C1.S14.XMD11.m1fdec

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Sitelinks

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