DLMF:2.6.E45 (Q871): Difference between revisions

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		Property / Symbols used
			Q11036
		Property / Symbols used: Q11036 / rank
			Normal rank
		Property / Symbols used: Q11036 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\delta_{n}(x)}}$ \delta_{n}(x)
		Property / Symbols used: Q11036 / qualifier
			xml-id: C2.S6.XMD25.m1dec
		Property / Symbols used
			Q11035
		Property / Symbols used: Q11035 / rank
			Normal rank
		Property / Symbols used: Q11035 / qualifier
			Defining formula: ${\displaystyle{\displaystyle c_{s}}}$ c_{s}
		Property / Symbols used: Q11035 / qualifier
			xml-id: C2.S6.XMD9.m1bdec

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Latest revision as of 17:17, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:2.6.E45	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle I^{\mu}f(x)=\sum_{s=0}^{n-1}a_{s}\frac{\Gamma\left(1-s-\alpha\right)}{\Gamma\left(\mu+1-s-\alpha\right)}x^{\mu-s-\alpha}-\sum_{s=1}^{n}\frac{c_{s}}{\Gamma\left(\mu+1-s\right)}x^{\mu-s}+\frac{1}{x^{n}}\delta_{n}(x),}}$

0 references

DLMF id

DLMF:2.6.E45

0 references

Symbols used

gamma function

Defining formula

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

xml-id

C5.S2.E1.m2agdec

0 references

Q11028

Defining formula

${\displaystyle{\displaystyle\mu}}$

xml-id

C2.S6.XMD14.m1hdec

0 references

fractional integral (locally)

Defining formula

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

xml-id

C2.S6.XMD15.m1bdec

0 references

Q11019

Defining formula

${\displaystyle{\displaystyle f(t)}}$

xml-id

C2.S6.XMD2.m1vdec

0 references

Q11031

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C2.S6.XMD20.m1edec

0 references

Q11034

Defining formula

${\displaystyle{\displaystyle a_{n}}}$

xml-id

C2.S6.XMD24.m1ddec

0 references

Q11036

Defining formula

${\displaystyle{\displaystyle\delta_{n}(x)}}$

xml-id

C2.S6.XMD25.m1dec

0 references

Q11035

Defining formula

${\displaystyle{\displaystyle c_{s}}}$

xml-id

C2.S6.XMD9.m1bdec

0 references

 

Sitelinks

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DRMF related sites(0 entries)

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