DLMF:1.14.E34 (Q526): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:1.14.E34	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\tfrac{1}{2}(f(u+)+f(u-))=\frac{1}{2\pi i}\lim_{T% \to\infty}\int^{\sigma+iT}_{\sigma-iT}u^{-s}\mathscr{M}\mskip-3.0mu f\mskip 3.% 0mu \left(s\right)\mathrm{d}s.}}

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DLMF:1.14.E34

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Mellin transform

Defining formula

{\displaystyle{\displaystyle\mathscr{M}\left(\NVar{f}\right)\left(\NVar{s}% \right)}}

C1.S14.E32.m2abdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2akdec

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Defining formula

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

C1.S4.SS4.m1awdec

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Defining formula

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

C1.S9.E1.m2afdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3avdec

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Sitelinks

Wikipedia(0 entries)

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