Formula:4323

Digital Library of Mathematical Functions ID 10.43.E12

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

Constraint(s)

${\displaystyle{\displaystyle x>0}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{Ki}_{\NVar{\alpha}}\left(\NVar{x}\right)}}$: Bickley function
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\cosh\NVar{z}}}$: hyperbolic cosine function
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle x}}$: real variable
 

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