DLMF:5.14.E5 (Q2167): Difference between revisions

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Revision as of 01:06, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 01:06, 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
			Q11275
		Property / Symbols used: Q11275 / rank
			Normal rank
		Property / Symbols used: Q11275 / qualifier
			Defining formula: ${\displaystyle{\displaystyle a}}$ a
		Property / Symbols used: Q11275 / qualifier
			xml-id: C5.S1.XMD8.m1adec
		Property / Symbols used
			product (locally)
		Property / Symbols used: product (locally) / rank
			Normal rank
		Property / Symbols used: product (locally) / qualifier
			Defining formula: ${\displaystyle{\displaystyle\Delta}}$ \Delta
		Property / Symbols used: product (locally) / qualifier
			xml-id: C5.S14.XMD2.m1bdec

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Latest revision as of 01:06, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:5.14.E5	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\int_{[0,\infty)^{n}}t_{1}t_{2}\cdots t_{m}|\Delta(t_{1},\dots,t_{n})|^{2c}\prod_{k=1}^{n}t_{k}^{a-1}e^{-t_{k}}\mathrm{d}t_{k}=\prod_{k=1}^{m}(a+(n-k)c)\frac{\prod_{k=1}^{n}\Gamma\left(a+(n-k)c\right)\Gamma\left(1+kc\right)}{(\Gamma\left(1+c\right))^{n}},}}$

0 references

DLMF id

DLMF:5.14.E5

0 references

Symbols used

gamma function

Defining formula

${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$

xml-id

C5.S2.E1.m2acdec

0 references

Q11243

Defining formula

${\displaystyle{\displaystyle[\NVar{a},\NVar{b})}}$

xml-id

introduction.Sx4.p2.t1.r1.m4adec

0 references

Q10770

Defining formula

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

xml-id

C1.S4.SS4.m1acdec

0 references

base of natural logarithm

Defining formula

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

xml-id

C4.S2.E11.m2adec

0 references

Q10771

Defining formula

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

xml-id

C1.S4.SS4.m3acdec

0 references

Q11276

Defining formula

${\displaystyle{\displaystyle m}}$

xml-id

C5.S1.XMD2.m1adec

0 references

Q11274

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C5.S1.XMD3.m1ddec

0 references

Q11279

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C5.S1.XMD4.m1cdec

0 references

Q11275

Defining formula

${\displaystyle{\displaystyle a}}$

xml-id

C5.S1.XMD8.m1adec

0 references

product (locally)

Defining formula

${\displaystyle{\displaystyle\Delta}}$

xml-id

C5.S14.XMD2.m1bdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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