DLMF:2.5.E7 (Q783): Difference between revisions

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Revision as of 17:02, 1 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 17:02, 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
			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.m1addec
		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.m2abdec
		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.m3addec
		Property / Symbols used
			Q10992
		Property / Symbols used: Q10992 / rank
			Normal rank
		Property / Symbols used: Q10992 / qualifier
			Defining formula: ${\displaystyle{\displaystyle f(x)}}$ f(x)
		Property / Symbols used: Q10992 / qualifier
			xml-id: C2.S5.XMD1.m1fdec
		Property / Symbols used
			Q10995
		Property / Symbols used: Q10995 / rank
			Normal rank
		Property / Symbols used: Q10995 / qualifier
			Defining formula: ${\displaystyle{\displaystyle h(x)}}$ h(x)
		Property / Symbols used: Q10995 / qualifier
			xml-id: C2.S5.XMD6.m1ddec
		Property / Symbols used
			Q10996
		Property / Symbols used: Q10996 / rank
			Normal rank
		Property / Symbols used: Q10996 / qualifier
			Defining formula: ${\displaystyle{\displaystyle d}}$ d
		Property / Symbols used: Q10996 / qualifier
			xml-id: C2.S5.XMD7.m1adec
		Property / Symbols used
			Q10997
		Property / Symbols used: Q10997 / rank
			Normal rank
		Property / Symbols used: Q10997 / qualifier
			Defining formula: ${\displaystyle{\displaystyle E(x)}}$ E(x)
		Property / Symbols used: Q10997 / qualifier
			xml-id: C2.S5.XMD8.m1adec

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Latest revision as of 17:02, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:2.5.E7	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle E(x)=\frac{1}{2\pi i}\int_{d-i\infty}^{d+i\infty}x^{-z}\mathscr{M}\mskip-3.0mu f\mskip 3.0mu \left(1-z\right)\mathscr{M}\mskip-3.0mu h\mskip 3.0mu \left(z\right)\mathrm{d}z.}}$

0 references

DLMF id

DLMF:2.5.E7

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.m2abdec

0 references

Q10770

Defining formula

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

xml-id

C1.S4.SS4.m1addec

0 references

imaginary unit

Defining formula

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

xml-id

C1.S9.E1.m2abdec

0 references

Q10771

Defining formula

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

xml-id

C1.S4.SS4.m3addec

0 references

Q10992

Defining formula

${\displaystyle{\displaystyle f(x)}}$

xml-id

C2.S5.XMD1.m1fdec

0 references

Q10995

Defining formula

${\displaystyle{\displaystyle h(x)}}$

xml-id

C2.S5.XMD6.m1ddec

0 references

Q10996

Defining formula

${\displaystyle{\displaystyle d}}$

xml-id

C2.S5.XMD7.m1adec

0 references

Q10997

Defining formula

${\displaystyle{\displaystyle E(x)}}$

xml-id

C2.S5.XMD8.m1adec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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