DLMF:2.6.E52 (Q878): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:2.6.E52	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle I^{\mu}f(x)=\sum_{s=0}^{n-1}(-1)^{s}\frac{\Gamma% \left(1-s-\alpha\right)}{\Gamma\left(\mu+1-s-\alpha\right)}x^{\mu-s-\alpha}-% \frac{\pi}{\sin\left(\pi\alpha\right)}\sum_{s=1}^{n}\frac{1}{\Gamma\left(\mu+1% -s\right)}\frac{x^{\mu-s}}{(s-1)!}+\frac{1}{x^{n}}\delta_{n}(x).}}

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DLMF:2.6.E52

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Defining formula

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

C5.S2.E1.m2akdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2afdec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5ajdec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2acdec

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Defining formula

{\displaystyle{\displaystyle\mu}}

C2.S6.XMD14.m1ldec

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fractional integral (locally)

Defining formula

{\displaystyle{\displaystyle I^{\mu}}}

C2.S6.XMD15.m1fdec

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