Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

According to http://people.math.sfu.ca/~cbm/aands/page_376.htm, I know that

$\int_0^\infty e^{-z\cosh t}\cosh vt~dt=K_v(z)$ and $\int_0^\infty e^{-z\cosh t}\sinh^vt~dt=\dfrac{2^\frac{v}{2}~\Gamma\left(\dfrac{v+1}{2}\right)K_\frac{v}{2}(z)}{\sqrt\pi z^\frac{v}{2}}$ .

How about $\int_0^\infty e^{-z\cosh t}\sinh^at\cosh bt~dt$ , especially when $a$ and $b$ are not integers?

Does some formulae in http://dlmf.nist.gov/5.12 helpful?

share|improve this question

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.