Recent content by mozam

I see what you mean. Lot of work in perspective... Another idea that I had is the use of classical integration methods and some known integrals like: \int_0^{\infty} e^{-ax}J_0(b\sqrt{cx^2+2dx})dx=\frac{1}{\sqrt(a^2+b^2)}exp\left[d\left(a-\sqrt(a^2+b^2)\right)\right] or...

Sorry, one more precision: -\infty < x < \infty So that, \sum_{j=0}^{k-i}(...)\int e^{-ax^2}x^{2i+j} dx = \sum_{p=0}^{k-i}(...)\{\int_{-\infty}^{\infty} e^{-ax^2}x^{2(i+p)} dx + \int_{-\infty}^{\infty} e^{-ax^2}x^{2(i+p)+1} dx\} given that j is either odd or even,i.e., j=2p or...

Thank you Jackmell for your reply. I tried the way you suggested, but it is quite difficult to have a closed form expression of the integral. The expression of P(x) that I obtain is: P_{k}(x)=\frac{\left(b^2(cx^2+dx+e\right)^k}{4\left(k!\right)^2} =...

Hello, In my work, I have to solve the following integral: \int {exp(-aX^2)I_0(b\sqrt(cX^2+dX+e))}dX where I_0() is the modified Bessel function. I did not find the solution in any table of integral. Any help is appreciated. Thanks a lot in advance.