DLMF:19.16.E24 (Q6342): Difference between revisions

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Revision as of 13:54, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 13:54, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
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		Property / Symbols used
			Q10771
		Property / Symbols used: Q10771 / rank
			Normal rank
		Property / Symbols used: Q10771 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\int}}$ \int
		Property / Symbols used: Q10771 / qualifier
			xml-id: C1.S4.SS4.m3agdec
		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.m1ddec

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Latest revision as of 13:54, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:19.16.E24	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle R_{-a}\left(\mathbf{b};\mathbf{z}\right)=\frac{z_{1}^{a^{\prime}-b_{1}}}{\mathrm{B}\left(b_{1},a^{\prime}-b_{1}\right)}\int_{0}^{\infty}t^{b_{1}-1}(t+z_{1})^{-a^{\prime}}\*R_{-a}\left(\mathbf{b};0,t+z_{2},\dots,t+z_{n}\right)\mathrm{d}t,}}$

0 references

DLMF id

DLMF:19.16.E24

0 references

constraint

${\displaystyle{\displaystyle a+a^{\prime}>b_{1}>0}}$

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.m2andec

0 references

beta function

Defining formula

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

xml-id

C5.S12.E1.m2acdec

0 references

Q10770

Defining formula

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

xml-id

C1.S4.SS4.m1agdec

0 references

Q10771

Defining formula

${\displaystyle{\displaystyle\int}}$

xml-id

C1.S4.SS4.m3agdec

0 references

Q11820

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C19.S1.XMD3.m1ddec

0 references

 

Sitelinks

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