Formula:3444

Digital Library of Mathematical Functions ID 8.21.E24

${\displaystyle{\displaystyle f(a,z)=\frac{z^{a}}{2}\int_{0}^{\infty}\left((1+it)^{a-1}+(1-it)^{a-1}\right)e^{-zt}\mathrm{d}t,}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle a}}$: parameter
• ${\displaystyle{\displaystyle f(a,z)}}$: auxiliary function (locally)
 

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