DLMF:10.43.E12 (Q3626)

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Language	Label	Description	Also known as
English	DLMF:10.43.E12	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathrm{Ki}_{\alpha}\left(x\right)=\int_{0}^{% \infty}\frac{e^{-x\cosh t}}{(\cosh t)^{\alpha}}\mathrm{d}t,}}

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DLMF:10.43.E12

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{\displaystyle{\displaystyle x>0}}

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Bickley function

Defining formula

{\displaystyle{\displaystyle\mathrm{Ki}_{\NVar{\alpha}}\left(\NVar{x}\right)}}

C10.S43.E11.m2aadec

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Defining formula

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

C1.S4.SS4.m1akdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2afdec

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hyperbolic cosine function

Defining formula

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

C4.S28.E2.m2adec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3akdec

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Defining formula

{\displaystyle{\displaystyle x}}

C10.S1.XMD4.m1hdec

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Sitelinks

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