DLMF:1.14.E37 (Q529): Difference between revisions

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Revision as of 16:26, 1 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 16:26, 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
			imaginary unit
		Property / Symbols used: imaginary unit / rank
			Normal rank
		Property / Symbols used: imaginary unit / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathrm{i}}}$ \iunit
		Property / Symbols used: imaginary unit / qualifier
			xml-id: C1.S9.E1.m2aidec
		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.m3aydec
		Property / Symbols used
			Q10894
		Property / Symbols used: Q10894 / rank
			Normal rank
		Property / Symbols used: Q10894 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\sigma\in(a,b)}}$ \sigma\in(a,b)
		Property / Symbols used: Q10894 / qualifier
			xml-id: C1.S14.XMD11.m1edec

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Latest revision as of 16:26, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:1.14.E37	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\int^{\infty}_{0}f(x)g(x)\mathrm{d}x=\frac{1}{2\pi i}\*\int^{\sigma+i\infty}_{\sigma-i\infty}\mathscr{M}\mskip-3.0mu f\mskip 3.0mu \left(1-s\right)\mathscr{M}\mskip-3.0mu g\mskip 3.0mu \left(s\right)\mathrm{d}s.}}$

0 references

DLMF id

DLMF:1.14.E37

0 references

Symbols used

Mellin transform

Defining formula

${\displaystyle{\displaystyle\mathscr{M}\left(\NVar{f}\right)\left(\NVar{s}\right)}}$

xml-id

C1.S14.E32.m2aedec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

${\displaystyle{\displaystyle\pi}}$

xml-id

C3.S12.E1.m2andec

0 references

Q10770

Defining formula

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

xml-id

C1.S4.SS4.m1azdec

0 references

imaginary unit

Defining formula

${\displaystyle{\displaystyle\mathrm{i}}}$

xml-id

C1.S9.E1.m2aidec

0 references

Q10771

Defining formula

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

xml-id

C1.S4.SS4.m3aydec

0 references

Q10894

Defining formula

${\displaystyle{\displaystyle\sigma\in(a,b)}}$

xml-id

C1.S14.XMD11.m1edec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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