DLMF:6.7.E3 (Q2256): Difference between revisions

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Revision as of 01:26, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 01:26, 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
			base of natural logarithm
		Property / Symbols used: base of natural logarithm / rank
			Normal rank
		Property / Symbols used: base of natural logarithm / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathrm{e}}}$ \expe
		Property / Symbols used: base of natural logarithm / qualifier
			xml-id: C4.S2.E11.m2abdec
		Property / Symbols used
			exponential integral
		Property / Symbols used: exponential integral / rank
			Normal rank
		Property / Symbols used: exponential integral / qualifier
			Defining formula: ${\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}}$ \expintE@{\NVar{z}}
		Property / Symbols used: exponential integral / qualifier
			xml-id: C6.S2.E1.m2aadec
		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.m2aadec
		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.m3abdec
		Property / Symbols used
			Q11307
		Property / Symbols used: Q11307 / rank
			Normal rank
		Property / Symbols used: Q11307 / qualifier
			Defining formula: ${\displaystyle{\displaystyle x}}$ x
		Property / Symbols used: Q11307 / qualifier
			xml-id: C6.S1.XMD1.m1adec

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Latest revision as of 01:26, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:6.7.E3	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\int_{x}^{\infty}\frac{e^{it}}{a^{2}+t^{2}}\mathrm{d}t=\frac{i}{2a}\left(e^{a}E_{1}\left(a-ix\right)-e^{-a}E_{1}\left(-a-ix\right)\right),}}$

0 references

DLMF id

DLMF:6.7.E3

0 references

constraint

${\displaystyle{\displaystyle x>0}}$

0 references

Symbols used

Q10770

Defining formula

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

xml-id

C1.S4.SS4.m1abdec

0 references

base of natural logarithm

Defining formula

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

xml-id

C4.S2.E11.m2abdec

0 references

exponential integral

Defining formula

${\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}}$

xml-id

C6.S2.E1.m2aadec

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.m3abdec

0 references

Q11307

Defining formula

${\displaystyle{\displaystyle x}}$

xml-id

C6.S1.XMD1.m1adec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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