DLMF:2.6.E53 (Q879): Difference between revisions

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Revision as of 12:30, 29 December 2019 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Created a new Item: Wikidata Toolkit example test item creation		Latest revision as of 17:18, 1 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
(4 intermediate revisions by the same user not shown)
		Property / Symbols used
			gamma function
		Property / Symbols used: gamma function / rank
			Normal rank
		Property / Symbols used: gamma function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$ \EulerGamma@{\NVar{z}}
		Property / Symbols used: gamma function / qualifier
			xml-id: C5.S2.E1.m2aldec
		Property / Symbols used
			Q10754
		Property / Symbols used: Q10754 / rank
			Normal rank
		Property / Symbols used: Q10754 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}$ \binom{\NVar{m}}{\NVar{n}}
		Property / Symbols used: Q10754 / qualifier
			xml-id: C1.S2.SS1.m1addec
		Property / Symbols used
			Q11028
		Property / Symbols used: Q11028 / rank
			Normal rank
		Property / Symbols used: Q11028 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mu}}$ \mu
		Property / Symbols used: Q11028 / qualifier
			xml-id: C2.S6.XMD14.m1mdec
		Property / Symbols used
			Q11031
		Property / Symbols used: Q11031 / rank
			Normal rank
		Property / Symbols used: Q11031 / qualifier
			Defining formula: ${\displaystyle{\displaystyle n}}$ n
		Property / Symbols used: Q11031 / qualifier
			xml-id: C2.S6.XMD20.m1kdec
		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.m1ddec

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Latest revision as of 17:18, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:2.6.E53	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle{\left|\delta_{n}(x)\right|}\leq\frac{\Gamma\left(\mu+1\right)\Gamma\left(1-\alpha\right)}{\Gamma\left(\mu+1-\alpha\right)\Gamma\left(n+\alpha\right)}\*\sum_{j=0}^{n}\dbinom{n}{j}\frac{\Gamma\left(n+\alpha-j\right)}{\left|\Gamma\left(\mu+1-j\right)\right|}x^{\mu-\alpha}}}$

0 references

DLMF id

DLMF:2.6.E53

0 references

Symbols used

gamma function

Defining formula

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

xml-id

C5.S2.E1.m2aldec

0 references

Q10754

Defining formula

${\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}$

xml-id

C1.S2.SS1.m1addec

0 references

Q11028

Defining formula

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

xml-id

C2.S6.XMD14.m1mdec

0 references

Q11031

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C2.S6.XMD20.m1kdec

0 references

Q11036

Defining formula

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

xml-id

C2.S6.XMD25.m1ddec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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