Timeline for Bessel functions of matrix argument in the scalar case
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 22, 2023 at 7:17 | comment | added | Stéphane Laurent | @username I didn't know (or didn't remember) that $A$ -> $J$ and $B$ -> $Y$. Thanks. Will take a look at DLMF. | |
| Sep 21, 2023 at 19:19 | comment | added | username | Well you say that this identity holds for 1x1 "matrices". But in that case, the complicated notations for Bessel Functions of matrix argument simplify greatly since tr(X)=X, |k|=k etc...all in all it becomes normal Gamma functions and normal factorials. With any luck, if the notations are consistent, $A$ will become $J$ and $B$ will become $Y$ (or another natural pair of non matrix argument Bessel functions) and then you can just look up what the corresponding identity is in the DLMF. | |
| Sep 18, 2023 at 12:40 | comment | added | Stéphane Laurent | @username No idea. In the paper they are defined for matrices only (if I correctly remember, not sure... but almost sure). But would it change something? | |
| Sep 18, 2023 at 12:22 | comment | added | username | Since it is for $1\times1$ matrices, that is, scalars, couldn't each term ($A_\delta$, $B_\delta$) be written without Bessel functions of matrix arguments? | |
| Jul 27, 2023 at 10:38 | history | asked | Stéphane Laurent | CC BY-SA 4.0 |