Timeline for Closed form for $\int_0^T e^{-x}\frac{I_n(\alpha x)}{x}dx$
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 13, 2017 at 10:26 | comment | added | Alexandre | Your expression seems to come from the formula relating ${}_2F_2$ and ${}_0F_1$ and other similar identities. But the expressions of your polynomials are not clear yet. | |
| Jun 11, 2017 at 20:14 | comment | added | Carlo Beenakker | Mathematica evaluates the integral for arbitrary real $n$ in terms of a hypergeometric function, which reduces to these explicit expressions for integer $n$. | |
| Jun 11, 2017 at 19:33 | comment | added | Alexandre | Thanks! I would appreciate any reference or indication on how you got this. The coefficients $b_{n,0}$ seems to be $(-2)^nn!$. | |
| Jun 11, 2017 at 16:49 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
edited body
|
| Jun 11, 2017 at 16:44 | history | answered | Carlo Beenakker | CC BY-SA 3.0 |