DLMF:35.8.E5 (Q9827): Difference between revisions

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Revision as of 15:00, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 15:00, 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
			Q12725
		Property / Symbols used: Q12725 / rank
			Normal rank
		Property / Symbols used: Q12725 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\Gamma_{\NVar{m}}\left(\NVar{a}\right)}}$ \multivarEulerGamma{\NVar{m}}@{\NVar{a}}
		Property / Symbols used: Q12725 / qualifier
			xml-id: C35.S3.SS1.m1aadec
		Property / Symbols used
			Q10811
		Property / Symbols used: Q10811 / rank
			Normal rank
		Property / Symbols used: Q10811 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\Re}}$ \realpart@@
		Property / Symbols used: Q10811 / qualifier
			xml-id: C1.S9.E2.m1adec
		Property / Symbols used
			Q12726
		Property / Symbols used: Q12726 / rank
			Normal rank
		Property / Symbols used: Q12726 / qualifier
			Defining formula: ${\displaystyle{\displaystyle a}}$ a
		Property / Symbols used: Q12726 / qualifier
			xml-id: C35.S1.XMD1.m1bdec
		Property / Symbols used
			Q12728
		Property / Symbols used: Q12728 / rank
			Normal rank
		Property / Symbols used: Q12728 / qualifier
			Defining formula: ${\displaystyle{\displaystyle b}}$ b
		Property / Symbols used: Q12728 / qualifier
			xml-id: C35.S1.XMD2.m1bdec
		Property / Symbols used
			Q12736
		Property / Symbols used: Q12736 / rank
			Normal rank
		Property / Symbols used: Q12736 / qualifier
			Defining formula: ${\displaystyle{\displaystyle c}}$ c
		Property / Symbols used: Q12736 / qualifier
			xml-id: C35.S1.XMD3.m1dec
		Property / Symbols used
			Q12723
		Property / Symbols used: Q12723 / rank
			Normal rank
		Property / Symbols used: Q12723 / qualifier
			Defining formula: ${\displaystyle{\displaystyle m}}$ m
		Property / Symbols used: Q12723 / qualifier
			xml-id: C35.S1.XMD8.m1adec

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Latest revision as of 15:00, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:35.8.E5	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle{{}_{3}F_{2}}\left({a_{1},a_{2},a_{3}\atop b_{1},b_{2}};\mathbf{I}\right)=\frac{\Gamma_{m}\left(b_{2}\right)\Gamma_{m}\left(c\right)}{\Gamma_{m}\left(b_{2}-a_{3}\right)\Gamma_{m}\left(c+a_{3}\right)}\*{{}_{3}F_{2}}\left({b_{1}-a_{1},b_{1}-a_{2},a_{3}\atop b_{1},c+a_{3}};\mathbf{I}\right),}}$

0 references

DLMF id

DLMF:35.8.E5

0 references

constraint

${\displaystyle{\displaystyle\Re(b_{2}),\Re(c)>\frac{1}{2}(m-1)}}$

0 references

Symbols used

generalized hypergeometric function of matrix argument

Defining formula

${\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{\mathbf{T}}\right)}}$

xml-id

C35.S8.E1.m2addec

0 references

Q12725

Defining formula

${\displaystyle{\displaystyle\Gamma_{\NVar{m}}\left(\NVar{a}\right)}}$

xml-id

C35.S3.SS1.m1aadec

0 references

Q10811

Defining formula

${\displaystyle{\displaystyle\Re}}$

xml-id

C1.S9.E2.m1adec

0 references

Q12726

Defining formula

${\displaystyle{\displaystyle a}}$

xml-id

C35.S1.XMD1.m1bdec

0 references

Q12728

Defining formula

${\displaystyle{\displaystyle b}}$

xml-id

C35.S1.XMD2.m1bdec

0 references

Q12736

Defining formula

${\displaystyle{\displaystyle c}}$

xml-id

C35.S1.XMD3.m1dec

0 references

Q12723

Defining formula

${\displaystyle{\displaystyle m}}$

xml-id

C35.S1.XMD8.m1adec

0 references

 

Sitelinks

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DRMF related sites(0 entries)

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