DLMF:6.7.E12 (Q2265)

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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,}}

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DLMF:6.7.E12

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

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2abdec

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Defining formula

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

C1.S4.SS4.m1akdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2akdec

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Defining formula

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

C1.S9.E1.m2ahdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3akdec

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Defining formula

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

C1.S9.E7.m1adec

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auxiliary function for sine and cosine integrals

Defining formula

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

C6.S2.E17.m2adec

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auxiliary function for sine and cosine integrals

Defining formula

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

C6.S2.E18.m2adec

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Sitelinks

Wikipedia(0 entries)

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