DLMF:9.11.E19 (Q2926): Difference between revisions

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Latest revision as of 14:51, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:9.11.E19	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{\infty}\frac{\mathrm{d}t}{{\mathrm{Ai}^{% 2}}\left(t\right)+{\mathrm{Bi}^{2}}\left(t\right)}=\int_{0}^{\infty}\frac{t% \mathrm{d}t}{{\mathrm{Ai}'^{2}}\left(t\right)+{\mathrm{Bi}'^{2}}\left(t\right)% }=\frac{\pi^{2}}{6}.}}

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DLMF:9.11.E19

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Defining formula

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

C9.S2.SS1.m1ajdec

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Defining formula

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

C9.S2.SS1.m2afdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2ajdec

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Defining formula

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

C1.S4.SS4.m1apdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3apdec

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Airy modulus function

Defining formula

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

C9.S8.E3.m2adec

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Airy modulus function

Defining formula

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

C9.S8.E7.m2adec

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Airy phase function

Defining formula

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

C9.S8.E8.m2adec

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Airy phase function

Defining formula

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

C9.S8.E4.m2adec

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Defining formula

{\displaystyle{\displaystyle x}}

C9.S1.XMD2.m1adec

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Sitelinks

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