DLMF:5.9.E19 (Q2108): Difference between revisions

From DRMF

Jump to navigation Jump to search

← Older edit

Revision as of 19:39, 1 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 19:39, 1 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
(2 intermediate revisions by the same user not shown)
		Property / Symbols used
			Q10811
		Property / Symbols used: Q10811 / rank
			Normal rank
		Property / Symbols used: Q10811 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\Re}}$ \realpart@@
		Property / Symbols used: Q10811 / qualifier
			xml-id: C1.S9.E2.m1addec
		Property / Symbols used
			Q11274
		Property / Symbols used: Q11274 / rank
			Normal rank
		Property / Symbols used: Q11274 / qualifier
			Defining formula: ${\displaystyle{\displaystyle n}}$ n
		Property / Symbols used: Q11274 / qualifier
			xml-id: C5.S1.XMD3.m1cdec
		Property / Symbols used
			Q11273
		Property / Symbols used: Q11273 / rank
			Normal rank
		Property / Symbols used: Q11273 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q11273 / qualifier
			xml-id: C5.S1.XMD7.m1odec

---

Latest revision as of 19:39, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:5.9.E19	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle{\Gamma^{(n)}}\left(z\right)=\int_{0}^{\infty}(\ln t)^{n}e^{-t}t^{z-1}\mathrm{d}t,}}$

0 references

DLMF id

DLMF:5.9.E19

0 references

constraint

${\displaystyle{\displaystyle\Re z>0}}$

0 references

${\displaystyle{\displaystyle n\geq 0}}$

0 references

${\displaystyle{\displaystyle\Re z>0}}$

0 references

Symbols used

gamma function

Defining formula

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

xml-id

C5.S2.E1.m2akdec

0 references

Q10770

Defining formula

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

xml-id

C1.S4.SS4.m1ardec

0 references

base of natural logarithm

Defining formula

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

xml-id

C4.S2.E11.m2akdec

0 references

Q10771

Defining formula

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

xml-id

C1.S4.SS4.m3ardec

0 references

principal branch of logarithm function

Defining formula

${\displaystyle{\displaystyle\ln\NVar{z}}}$

xml-id

C4.S2.E2.m2aedec

0 references

Q10811

Defining formula

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

xml-id

C1.S9.E2.m1addec

0 references

Q11274

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C5.S1.XMD3.m1cdec

0 references

Q11273

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C5.S1.XMD7.m1odec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q2108&oldid=28818"