DLMF:35.6.E7 (Q9808): Difference between revisions

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Revision as of 01:02, 30 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 14:55, 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
			generalized hypergeometric function of matrix argument
		Property / Symbols used: generalized hypergeometric function of matrix argument / rank
			Normal rank
		Property / Symbols used: generalized hypergeometric function of matrix argument / qualifier
			Defining formula: ${\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{\mathbf{T}}\right)}}$ \genhyperFmat{\NVar{p}}{\NVar{q}}@{\NVar{a_{1},\dots,a_{p}}}{\NVar{b_{1},\dots,b_{q}}}{\NVar{\mathbf{T}}}
		Property / Symbols used: generalized hypergeometric function of matrix argument / qualifier
			xml-id: C35.S8.E1.m2aedec
		Property / Symbols used
			Q12718
		Property / Symbols used: Q12718 / rank
			Normal rank
		Property / Symbols used: Q12718 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathrm{etr}\left(\NVar{\mathbf{X}}\right)}}$ \exptrace@{\NVar{\mathbf{X}}}
		Property / Symbols used: Q12718 / qualifier
			xml-id: C35.S1.p3.t1.r10.m3acdec
		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.m1edec
		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.m1fdec
		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.m1edec

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Latest revision as of 14:55, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:35.6.E7	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle{{}_{1}F_{1}}\left({a\atop b};\mathbf{T}\right)=\mathrm{etr}\left(\mathbf{T}\right){{}_{1}F_{1}}\left({b-a\atop b};-\mathbf{T}\right).}}$

0 references

DLMF id

DLMF:35.6.E7

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.m2aedec

0 references

Q12718

Defining formula

${\displaystyle{\displaystyle\mathrm{etr}\left(\NVar{\mathbf{X}}\right)}}$

xml-id

C35.S1.p3.t1.r10.m3acdec

0 references

Q12726

Defining formula

${\displaystyle{\displaystyle a}}$

xml-id

C35.S1.XMD1.m1edec

0 references

Q12724

Defining formula

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

xml-id

C35.S1.XMD11.m1fdec

0 references

Q12728

Defining formula

${\displaystyle{\displaystyle b}}$

xml-id

C35.S1.XMD2.m1edec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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