DLMF:2.4.E3 (Q756)

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No description defined

Language	Label	Description	Also known as
English	DLMF:2.4.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle q(t)=\frac{1}{2\pi i}\lim\limits_{\eta\to\infty}% \int_{\sigma-i\eta}^{\sigma+i\eta}e^{tz}Q(z)\mathrm{d}z,}}

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DLMF:2.4.E3

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{\displaystyle{\displaystyle 0<t<\infty}}

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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Defining formula

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

C1.S4.SS4.m1abdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2abdec

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Defining formula

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

C1.S9.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3abdec

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Defining formula

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

C2.S4.XMD16.m1bdec

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Defining formula

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

C2.S4.XMD6.m1adec

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Defining formula

{\displaystyle{\displaystyle\sigma}}

C2.S4.XMD7.m1dec

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