DLMF:28.28.E15 (Q8439): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:28.28.E15	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{\infty}\cos\left(2h\cos y\cosh t\right)% \mathrm{Ce}_{2n}\left(t,h^{2}\right)\mathrm{d}t=(-1)^{n+1}\tfrac{1}{2}\pi{% \mathrm{Mc}^{(2)}_{2n}}\left(0,h\right)\mathrm{ce}_{2n}\left(y,h^{2}\right),}}

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DLMF:28.28.E15

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Defining formula

{\displaystyle{\displaystyle\mathrm{ce}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}

C28.S2.SS6.p1.m7acdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2amdec

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2aadec

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Defining formula

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

C1.S4.SS4.m1akdec

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hyperbolic cosine function

Defining formula

{\displaystyle{\displaystyle\cosh\NVar{z}}}

C4.S28.E2.m2afdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3akdec

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modified Mathieu function

Defining formula

{\displaystyle{\displaystyle\mathrm{Ce}_{\NVar{\nu}}\left(\NVar{z},\NVar{q}% \right)}}

C28.S20.E3.m2aadec

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