DLMF:7.5.E8 (Q2354): Difference between revisions

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Revision as of 01:39, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 01:39, 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
			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.m1gdec
		Property / Symbols used
			change of variable (locally)
		Property / Symbols used: change of variable (locally) / rank
			Normal rank
		Property / Symbols used: change of variable (locally) / qualifier
			Defining formula: ${\displaystyle{\displaystyle\zeta}}$ \zeta
		Property / Symbols used: change of variable (locally) / qualifier
			xml-id: C7.S5.XMD1.m1adec

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Latest revision as of 01:39, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:7.5.E8	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle C\left(z\right)\pm iS\left(z\right)=\tfrac{1}{2}(1\pm i)\operatorname{erf}\zeta.}}$

0 references

DLMF id

DLMF:7.5.E8

0 references

Symbols used

Fresnel integral

Defining formula

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

xml-id

C7.S2.E7.m2acdec

0 references

Fresnel integral

Defining formula

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

xml-id

C7.S2.E8.m2acdec

0 references

error function

Defining formula

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

xml-id

C7.S2.E1.m2aadec

0 references

imaginary unit

Defining formula

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

xml-id

C1.S9.E1.m2aedec

0 references

Q11312

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C7.S1.XMD2.m1gdec

0 references

change of variable (locally)

Defining formula

${\displaystyle{\displaystyle\zeta}}$

xml-id

C7.S5.XMD1.m1adec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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