DLMF:6.7.E12 (Q2265): Difference between revisions

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		Property / Symbols used
			auxiliary function for sine and cosine integrals
		Property / Symbols used: auxiliary function for sine and cosine integrals / rank
			Normal rank
		Property / Symbols used: auxiliary function for sine and cosine integrals / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathrm{g}\left(\NVar{z}\right)}}$ \auxsincosintg@{\NVar{z}}
		Property / Symbols used: auxiliary function for sine and cosine integrals / qualifier
			xml-id: C6.S2.E18.m2adec
		Property / Symbols used
			Q11305
		Property / Symbols used: Q11305 / rank
			Normal rank
		Property / Symbols used: Q11305 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q11305 / qualifier
			xml-id: C6.S1.XMD2.m1bdec

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Latest revision as of 01:29, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:6.7.E12	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\mathrm{g}\left(z\right)+i\mathrm{f}\left(z\right)=e^{-iz}\int_{z}^{\infty}\frac{e^{it}}{t}\mathrm{d}t,}}$

0 references

DLMF id

DLMF:6.7.E12

0 references

constraint

${\displaystyle{\displaystyle|\operatorname{ph}z|\leq\pi.}}$

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.m2abdec

0 references

Q10770

Defining formula

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

xml-id

C1.S4.SS4.m1akdec

0 references

base of natural logarithm

Defining formula

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

xml-id

C4.S2.E11.m2akdec

0 references

imaginary unit

Defining formula

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

xml-id

C1.S9.E1.m2ahdec

0 references

Q10771

Defining formula

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

xml-id

C1.S4.SS4.m3akdec

0 references

Q10817

Defining formula

${\displaystyle{\displaystyle\operatorname{ph}}}$

xml-id

C1.S9.E7.m1adec

0 references

auxiliary function for sine and cosine integrals

Defining formula

${\displaystyle{\displaystyle\mathrm{f}\left(\NVar{z}\right)}}$

xml-id

C6.S2.E17.m2adec

0 references

auxiliary function for sine and cosine integrals

Defining formula

${\displaystyle{\displaystyle\mathrm{g}\left(\NVar{z}\right)}}$

xml-id

C6.S2.E18.m2adec

0 references

Q11305

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C6.S1.XMD2.m1bdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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