DLMF:2.3.E29 (Q749): Difference between revisions

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Revision as of 16:55, 1 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 16:55, 1 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
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		Property / Symbols used
			integral (locally)
		Property / Symbols used: integral (locally) / rank
			Normal rank
		Property / Symbols used: integral (locally) / qualifier
			Defining formula: ${\displaystyle{\displaystyle I(\alpha,x)}}$ I(\alpha,x)
		Property / Symbols used: integral (locally) / qualifier
			xml-id: C2.S3.XMD27.m1adec
		Property / Symbols used
			Q10964
		Property / Symbols used: Q10964 / rank
			Normal rank
		Property / Symbols used: Q10964 / qualifier
			Defining formula: ${\displaystyle{\displaystyle p(\alpha,t)}}$ p(\alpha,t)
		Property / Symbols used: Q10964 / qualifier
			xml-id: C2.S3.XMD28.m1edec
		Property / Symbols used
			Q10966
		Property / Symbols used: Q10966 / rank
			Normal rank
		Property / Symbols used: Q10966 / qualifier
			Defining formula: ${\displaystyle{\displaystyle w}}$ w
		Property / Symbols used: Q10966 / qualifier
			xml-id: C2.S3.XMD30.m1cdec
		Property / Symbols used
			Q10967
		Property / Symbols used: Q10967 / rank
			Normal rank
		Property / Symbols used: Q10967 / qualifier
			Defining formula: ${\displaystyle{\displaystyle a(\alpha)}}$ a(\alpha)
		Property / Symbols used: Q10967 / qualifier
			xml-id: C2.S3.XMD31.m1bdec
		Property / Symbols used
			function (locally)
		Property / Symbols used: function (locally) / rank
			Normal rank
		Property / Symbols used: function (locally) / qualifier
			Defining formula: ${\displaystyle{\displaystyle f(\alpha,w)}}$ f(\alpha,w)
		Property / Symbols used: function (locally) / qualifier
			xml-id: C2.S3.XMD33.m1dec
		Property / Symbols used
			Q10969
		Property / Symbols used: Q10969 / rank
			Normal rank
		Property / Symbols used: Q10969 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\kappa=w(k)}}$ \kappa=w(k)
		Property / Symbols used: Q10969 / qualifier
			xml-id: C2.S3.XMD34.m1dec
		Property / Symbols used
			Q10950
		Property / Symbols used: Q10950 / rank
			Normal rank
		Property / Symbols used: Q10950 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\lambda}}$ \lambda
		Property / Symbols used: Q10950 / qualifier
			xml-id: C2.S3.XMD8.m1ldec

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Latest revision as of 16:55, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:2.3.E29	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle I(\alpha,x)=e^{-xp(\alpha,0)}\*\int_{0}^{\kappa}\exp\left(-x\left(\tfrac{1}{2}w^{2}-aw\right)\right)f(\alpha,w)w^{\lambda-1}\mathrm{d}w,}}$

0 references

DLMF id

DLMF:2.3.E29

0 references

Symbols used

Q10770

Defining formula

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

xml-id

C1.S4.SS4.m1aodec

0 references

exponential function

Defining formula

${\displaystyle{\displaystyle\exp\NVar{z}}}$

xml-id

C4.S2.E19.m2addec

0 references

base of natural logarithm

Defining formula

${\displaystyle{\displaystyle\mathrm{e}}}$

xml-id

C4.S2.E11.m2amdec

0 references

Q10771

Defining formula

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

xml-id

C1.S4.SS4.m3aodec

0 references

integral (locally)

Defining formula

${\displaystyle{\displaystyle I(\alpha,x)}}$

xml-id

C2.S3.XMD27.m1adec

0 references

Q10964

Defining formula

${\displaystyle{\displaystyle p(\alpha,t)}}$

xml-id

C2.S3.XMD28.m1edec

0 references

Q10966

Defining formula

${\displaystyle{\displaystyle w}}$

xml-id

C2.S3.XMD30.m1cdec

0 references

Q10967

Defining formula

${\displaystyle{\displaystyle a(\alpha)}}$

xml-id

C2.S3.XMD31.m1bdec

0 references

function (locally)

Defining formula

${\displaystyle{\displaystyle f(\alpha,w)}}$

xml-id

C2.S3.XMD33.m1dec

0 references

Q10969

Defining formula

${\displaystyle{\displaystyle\kappa=w(k)}}$

xml-id

C2.S3.XMD34.m1dec

0 references

Q10950

Defining formula

${\displaystyle{\displaystyle\lambda}}$

xml-id

C2.S3.XMD8.m1ldec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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