DLMF:35.5.E3 (Q9796): Difference between revisions

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Revision as of 18:30, 30 December 2019 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:52, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
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		Property / constraint
			${\displaystyle{\displaystyle\mathbf{T}\in{\boldsymbol{\Omega}}}}$ \mathbf{T}\in{\boldsymbol{\Omega}}
		Property / constraint: ${\displaystyle{\displaystyle\mathbf{T}\in{\boldsymbol{\Omega}}}}$ / rank
			Normal rank
		Property / Symbols used
			Q10923
		Property / Symbols used: Q10923 / rank
			Normal rank
		Property / Symbols used: Q10923 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathbb{C}}}$ \Complexes
		Property / Symbols used: Q10923 / qualifier
			xml-id: introduction.Sx4.p1.t1.r1.m2abdec
		Property / Symbols used
			Q10770
		Property / Symbols used: Q10770 / rank
			Normal rank
		Property / Symbols used: Q10770 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$ \diff{\NVar{x}}
		Property / Symbols used: Q10770 / qualifier
			xml-id: C1.S4.SS4.m1adec
		Property / Symbols used
			Q10784
		Property / Symbols used: Q10784 / rank
			Normal rank
		Property / Symbols used: Q10784 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\in}}$ \in
		Property / Symbols used: Q10784 / qualifier
			xml-id: introduction.Sx4.p1.t1.r10.m2abdec
		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.m3adec
		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.m3adec
		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.m1adec
		Property / Symbols used
			Q12719
		Property / Symbols used: Q12719 / rank
			Normal rank
		Property / Symbols used: Q12719 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathbf{X}}}$ \mathbf{X}
		Property / Symbols used: Q12719 / qualifier
			xml-id: C35.S1.XMD12.m1dec
		Property / Symbols used
			Q12720
		Property / Symbols used: Q12720 / rank
			Normal rank
		Property / Symbols used: Q12720 / qualifier
			Defining formula: ${\displaystyle{\displaystyle{\boldsymbol{\Omega}}}}$ {\boldsymbol{\Omega}}
		Property / Symbols used: Q12720 / qualifier
			xml-id: C35.S1.XMD13.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.m1bdec

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Latest revision as of 14:52, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:35.5.E3	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle B_{\nu}\left(\mathbf{T}\right)=\int_{\boldsymbol{\Omega}}\mathrm{etr}\left(-(\mathbf{T}\mathbf{X}+\mathbf{X}^{-1})\right)|\mathbf{X}|^{\nu-\frac{1}{2}(m+1)}\mathrm{d}\mathbf{X},}}$

0 references

DLMF id

DLMF:35.5.E3

0 references

Symbols defined

Bessel function of matrix argument (second kind)

0 references

constraint

${\displaystyle{\displaystyle\nu\in\mathbb{C}}}$

0 references

${\displaystyle{\displaystyle\nu\in\mathbb{C}}}$

0 references

${\displaystyle{\displaystyle\mathbf{T}\in{\boldsymbol{\Omega}}}}$

0 references

Symbols used

Q10923

Defining formula

${\displaystyle{\displaystyle\mathbb{C}}}$

xml-id

introduction.Sx4.p1.t1.r1.m2abdec

0 references

Q10770

Defining formula

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

xml-id

C1.S4.SS4.m1adec

0 references

Q10784

Defining formula

${\displaystyle{\displaystyle\in}}$

xml-id

introduction.Sx4.p1.t1.r10.m2abdec

0 references

Q12718

Defining formula

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

xml-id

C35.S1.p3.t1.r10.m3adec

0 references

Q10771

Defining formula

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

xml-id

C1.S4.SS4.m3adec

0 references

Q12724

Defining formula

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

xml-id

C35.S1.XMD11.m1adec

0 references

Q12719

Defining formula

${\displaystyle{\displaystyle\mathbf{X}}}$

xml-id

C35.S1.XMD12.m1dec

0 references

Q12720

Defining formula

${\displaystyle{\displaystyle{\boldsymbol{\Omega}}}}$

xml-id

C35.S1.XMD13.m1dec

0 references

Q12723

Defining formula

${\displaystyle{\displaystyle m}}$

xml-id

C35.S1.XMD8.m1bdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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