(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I have problem solving an integral equation of the form

2. Relevant equations

[tex]\int_{0}^{\infty}(a\Lambda^2/(\Gamma(\gamma-\Lambda)^2))exp(\Lambda\gamma/(\Gamma(\gamma-\Lambda))-(\gamma-b)/c)d\gamma[/tex]

3. The attempt at a solution

I have tried to solve it by substituting [tex]t=\frac{\Lambda\gamma}{\Gamma (\gamma-\Lambda)}[/tex] and able to bring it to the following from:

[tex]\int_{0}^{\infty}-a\exp((c\Gamma t^2-(c\Lambda+\Lambda\Gamma-b\Gamma)t-b\Lambda)/(c(\Gamma t-\Lambda)))dt[/tex]

but I'm not able to move further. Any suggestion to solve this integral will help me a lot.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Integral of an involved exponential

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