DLMF:35.7.E8 (Q9819): Difference between revisions

From DRMF

Jump to navigation Jump to search

← Older edit

Revision as of 14:58, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:58, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
(3 intermediate revisions by the same user not shown)
		Property / Symbols used
			Q12724
		Property / Symbols used: Q12724 / rank
			Normal rank
		Property / Symbols used: Q12724 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathbf{T}}}$ \mathbf{T}
		Property / Symbols used: Q12724 / qualifier
			xml-id: C35.S1.XMD11.m1edec
		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.m1fdec
		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.m1fdec
		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.m1edec

---

Latest revision as of 14:58, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:35.7.E8	No description defined

Statements

Defining formula

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

0 references

DLMF id

DLMF:35.7.E8

0 references

constraint

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

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.m2agdec

0 references

Q12725

Defining formula

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

xml-id

C35.S3.SS1.m1abdec

0 references

Q10811

Defining formula

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

xml-id

C1.S9.E2.m1acdec

0 references

Q12726

Defining formula

${\displaystyle{\displaystyle a}}$

xml-id

C35.S1.XMD1.m1fdec

0 references

Q12724

Defining formula

${\displaystyle{\displaystyle\mathbf{T}}}$

xml-id

C35.S1.XMD11.m1edec

0 references

Q12728

Defining formula

${\displaystyle{\displaystyle b}}$

xml-id

C35.S1.XMD2.m1fdec

0 references

Q12736

Defining formula

${\displaystyle{\displaystyle c}}$

xml-id

C35.S1.XMD3.m1fdec

0 references

Q12723

Defining formula

${\displaystyle{\displaystyle m}}$

xml-id

C35.S1.XMD8.m1edec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q9819&oldid=52908"