Timeline for What function is "$U_{\nu}(\cdot, \cdot)$"?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Oct 4, 2014 at 5:08 | answer | added | Sergei | timeline score: 2 | |
| Feb 9, 2014 at 5:04 | comment | added | Rafael Fernandes Lopes | @MarcPalm, the answer is no. My integral appeared when I was trying to obtain a cumulative distribution function (i.e., integrating a probability density function). Gradshteyn and Ryzhik don't have the integral, but I found it in Prudnikov (the integral is shown in the question). The only change I have made in my integral is converting the $I_\nu(\cdot)$ in its $J_\nu(\cdot)$ representation | |
| Feb 9, 2014 at 4:58 | history | edited | Rafael Fernandes Lopes | CC BY-SA 3.0 |
text correction
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| Feb 6, 2014 at 19:13 | comment | added | Marc Palm | Have you checked integral tabels, see e.g. here: mathoverflow.net/questions/99027/… | |
| Feb 6, 2014 at 19:11 | comment | added | Marc Palm | $U_n(x)$ denotes sometimes the $n$-th Chebyshev polynomial of the 2nd kind. It is related to the representation theory of $SU(2)$. Does your integral originate from representation theory, say the group $GL(2,C)$? | |
| Feb 6, 2014 at 18:48 | history | asked | Rafael Fernandes Lopes | CC BY-SA 3.0 |