DLMF:13.21.E23 (Q4631): Difference between revisions

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Latest revision as of 14:21, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:13.21.E23	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle W_{\kappa,\mu}\left(x\right)=\sqrt{2\pi}\kappa^{% \frac{1}{6}}\*\left(\frac{\kappa+\mu}{\kappa-\mu}\right)^{\frac{1}{2}\mu}\*% \left(\frac{\kappa^{2}-\mu^{2}}{e^{2}}\right)^{\frac{1}{2}\kappa}\*\widehat{% \Psi}(\kappa,\mu,x)\*\left(\mathrm{Ai}\left(\kappa^{\frac{2}{3}}\widehat{\zeta% }\right)+\mathrm{envAi}\left(\kappa^{\frac{2}{3}}\widehat{\zeta}\right)O\left(% \kappa^{-1}\right)\right),}}

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DLMF:13.21.E23

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Defining formula

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

C9.S2.SS1.m1aadec

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order not exceeding

Defining formula

{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

C2.S1.E3.m2akdec

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Whittaker confluent hypergeometric function

Defining formula

{\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}

C13.S14.E3.m2agdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2akdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{envAi}\left(\NVar{x}\right)}}

C2.S8.SS3.p4.m4adec

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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 x}}

C13.S1.XMD4.m1tdec

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function (locally)

Defining formula

{\displaystyle{\displaystyle\widehat{\Psi}(\kappa,\mu,x)}}

C13.S21.XMD6.m1bdec

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