DLMF:2.4.E7 (Q760)

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No description defined

Language	Label	Description	Also known as
English	DLMF:2.4.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle q(t)-f(t)=\frac{e^{\sigma t}}{2\pi}\lim\limits_{% \eta\to\infty}\int_{-\eta}^{\eta}e^{it\tau}(Q(\sigma+i\tau)-F(\sigma+i\tau))% \mathrm{d}\tau.}}

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DLMF:2.4.E7

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2acdec

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Defining formula

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

C1.S4.SS4.m1aedec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aedec

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Defining formula

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

C1.S9.E1.m2acdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aedec

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Defining formula

{\displaystyle{\displaystyle q(t)}}

C2.S4.XMD16.m1ddec

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Defining formula

{\displaystyle{\displaystyle Q(z)}}

C2.S4.XMD6.m1ddec

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Defining formula

{\displaystyle{\displaystyle\sigma}}

C2.S4.XMD7.m1cdec

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Defining formula

{\displaystyle{\displaystyle F(z)}}

C2.S4.XMD8.m1adec

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Defining formula

{\displaystyle{\displaystyle f(x)}}

C2.S4.XMD9.m1adec

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Sitelinks

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