DLMF:2.4.E5 (Q758): Difference between revisions

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Revision as of 16:57, 1 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 16:57, 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
			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.m3acdec
		Property / Symbols used
			Q10973
		Property / Symbols used: Q10973 / rank
			Normal rank
		Property / Symbols used: Q10973 / qualifier
			Defining formula: ${\displaystyle{\displaystyle q(t)}}$ q(t)
		Property / Symbols used: Q10973 / qualifier
			xml-id: C2.S4.XMD16.m1cdec
		Property / Symbols used
			Q10975
		Property / Symbols used: Q10975 / rank
			Normal rank
		Property / Symbols used: Q10975 / qualifier
			Defining formula: ${\displaystyle{\displaystyle Q(z)}}$ Q(z)
		Property / Symbols used: Q10975 / qualifier
			xml-id: C2.S4.XMD6.m1cdec
		Property / Symbols used
			Q10976
		Property / Symbols used: Q10976 / rank
			Normal rank
		Property / Symbols used: Q10976 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\sigma}}$ \sigma
		Property / Symbols used: Q10976 / qualifier
			xml-id: C2.S4.XMD7.m1adec

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Latest revision as of 16:57, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:2.4.E5	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle q(t)=\frac{1}{2\pi i}\int_{\sigma-i\infty}^{\sigma+i\infty}e^{tz}Q(z)\mathrm{d}z,}}$

0 references

DLMF id

DLMF:2.4.E5

0 references

constraint

${\displaystyle{\displaystyle 0<t<\infty}}$

0 references

Symbols used

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2aadec

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.m2acdec

0 references

imaginary unit

Defining formula

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

xml-id

C1.S9.E1.m2aadec

0 references

Q10771

Defining formula

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

xml-id

C1.S4.SS4.m3acdec

0 references

Q10973

Defining formula

${\displaystyle{\displaystyle q(t)}}$

xml-id

C2.S4.XMD16.m1cdec

0 references

Q10975

Defining formula

${\displaystyle{\displaystyle Q(z)}}$

xml-id

C2.S4.XMD6.m1cdec

0 references

Q10976

Defining formula

${\displaystyle{\displaystyle\sigma}}$

xml-id

C2.S4.XMD7.m1adec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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