DLMF:19.16.E19 (Q6337): Difference between revisions

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Revision as of 17:47, 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 13:53, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
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		Property / constraint
			${\displaystyle{\displaystyle a^{\prime}>b_{1}}}$ a^{\prime}>b_{1}
		Property / constraint: ${\displaystyle{\displaystyle a^{\prime}>b_{1}}}$ / rank
			Normal rank
		Property / Symbols used
			multivariate hypergeometric function
		Property / Symbols used: multivariate hypergeometric function / rank
			Normal rank
		Property / Symbols used: multivariate hypergeometric function / qualifier
			Defining formula: ${\displaystyle{\displaystyle R_{\NVar{-a}}\left(\NVar{b_{1}},\dots,\NVar{b_{n}};\NVar{z_{1}},\dots,\NVar{z_{n}}\right)}}$ \Carlsonmultivarhyper{\NVar{-a}}@{\NVar{b_{1}},\dots,\NVar{b_{n}}}{\NVar{z_{1}},\dots,\NVar{z_{n}}}
		Property / Symbols used: multivariate hypergeometric function / qualifier
			xml-id: C19.S16.E9.m2aidec
		Property / Symbols used
			beta function
		Property / Symbols used: beta function / rank
			Normal rank
		Property / Symbols used: beta function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathrm{B}\left(\NVar{a},\NVar{b}\right)}}$ \EulerBeta@{\NVar{a}}{\NVar{b}}
		Property / Symbols used: beta function / qualifier
			xml-id: C5.S12.E1.m2abdec
		Property / Symbols used
			Q11820
		Property / Symbols used: Q11820 / rank
			Normal rank
		Property / Symbols used: Q11820 / qualifier
			Defining formula: ${\displaystyle{\displaystyle n}}$ n
		Property / Symbols used: Q11820 / qualifier
			xml-id: C19.S1.XMD3.m1cdec

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Latest revision as of 13:53, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:19.16.E19	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle R_{-a}\left(b_{1},\dots,b_{n};0,z_{2},\dots,z_{n}\right)=\frac{\mathrm{B}\left(a,a^{\prime}-b_{1}\right)}{\mathrm{B}\left(a,a^{\prime}\right)}R_{-a}\left(b_{2},\dots,b_{n};z_{2},\dots,z_{n}\right),}}$

0 references

DLMF id

DLMF:19.16.E19

0 references

constraint

${\displaystyle{\displaystyle a^{\prime}>b_{1}}}$

0 references

Symbols used

multivariate hypergeometric function

Defining formula

${\displaystyle{\displaystyle R_{\NVar{-a}}\left(\NVar{b_{1}},\dots,\NVar{b_{n}};\NVar{z_{1}},\dots,\NVar{z_{n}}\right)}}$

xml-id

C19.S16.E9.m2aidec

0 references

beta function

Defining formula

${\displaystyle{\displaystyle\mathrm{B}\left(\NVar{a},\NVar{b}\right)}}$

xml-id

C5.S12.E1.m2abdec

0 references

Q11820

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C19.S1.XMD3.m1cdec

0 references

 

Sitelinks

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