DLMF:2.3.E20 (Q739): Difference between revisions

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Latest revision as of 16:53, 1 January 2020

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Language	Label	Description	Also known as
English	DLMF:2.3.E20	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{\infty}e^{ixt}q(t)\mathrm{d}t\sim\sum_{s% =0}^{\infty}\exp\left(\frac{(s+\lambda)\pi i}{2\mu}\right)\Gamma\left(\frac{s+% \lambda}{\mu}\right)\frac{a_{s}}{x^{(s+\lambda)/\mu}},}}

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DLMF:2.3.E20

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{\displaystyle{\displaystyle x\to+\infty}}

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2acdec

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Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.SS3.p1.m11ajdec

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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.m1akdec

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exponential function

Defining formula

{\displaystyle{\displaystyle\exp\NVar{z}}}

C4.S2.E19.m2abdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aidec

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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.m3akdec

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function (locally)

Defining formula

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

C2.S3.XMD6.m1fdec

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Defining formula

{\displaystyle{\displaystyle a_{s}}}

C2.S3.XMD7.m1dec

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Defining formula

{\displaystyle{\displaystyle\lambda}}

C2.S3.XMD8.m1idec

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Defining formula

{\displaystyle{\displaystyle\mu}}

C2.S3.XMD9.m1idec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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