DLMF:7.5.E1 (Q2347): Difference between revisions

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Revision as of 01:38, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 01:38, 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
			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.m2adec
		Property / Symbols used
			Q11312
		Property / Symbols used: Q11312 / rank
			Normal rank
		Property / Symbols used: Q11312 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q11312 / qualifier
			xml-id: C7.S1.XMD2.m1dec

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Latest revision as of 01:38, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:7.5.E1	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle F\left(z\right)=\tfrac{1}{2}i\sqrt{\pi}\left(e^{-z^{2}}-w\left(z\right)\right)=-\tfrac{1}{2}i\sqrt{\pi}e^{-z^{2}}\operatorname{erf}\left(iz\right).}}$

0 references

DLMF id

DLMF:7.5.E1

0 references

Symbols used

Dawson’s integral

Defining formula

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

xml-id

C7.S2.E5.m2adec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2adec

0 references

error function

Defining formula

${\displaystyle{\displaystyle\operatorname{erf}\NVar{z}}}$

xml-id

C7.S2.E1.m2adec

0 references

Faddeeva (or Faddeyeva) function

Defining formula

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

xml-id

C7.S2.E3.m2adec

0 references

base of natural logarithm

Defining formula

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

xml-id

C4.S2.E11.m2adec

0 references

imaginary unit

Defining formula

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

xml-id

C1.S9.E1.m2adec

0 references

Q11312

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C7.S1.XMD2.m1dec

0 references

 

Sitelinks

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