DLMF:2.10.E28 (Q1015)

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Language	Label	Description	Also known as
English	DLMF:2.10.E28	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle f_{n}-g_{n}=\frac{1}{2\pi i}\int_{|z|=r}\frac{f(z% )-g(z)}{z^{n+1}}\mathrm{d}z=\frac{1}{2\pi r^{n}}\int_{0}^{2\pi}\left(f\left(re% ^{i\theta}\right)-g\left(re^{i\theta}\right)\right)e^{-ni\theta}\mathrm{d}% \theta.}}

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DLMF:2.10.E28

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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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Defining formula

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

C1.S4.SS4.m1agdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aidec

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Defining formula

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

C1.S9.E1.m2akdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3agdec

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Defining formula

{\displaystyle{\displaystyle f(x)}}

C2.S10.XMD13.m1bdec

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Defining formula

{\displaystyle{\displaystyle f_{n}}}

C2.S10.XMD14.m1bdec

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Defining formula

{\displaystyle{\displaystyle r}}

C2.S10.XMD15.m1bdec

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Defining formula

{\displaystyle{\displaystyle g(z)}}

C2.S10.XMD17.m1adec

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Defining formula

{\displaystyle{\displaystyle g_{n}}}

C2.S10.XMD18.m1adec

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Sitelinks

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