# M.B.M.

 Apr 20 awarded Popular Question Apr 10 awarded Popular Question Mar 26 awarded Popular Question Feb 16 awarded Notable Question Feb 14 awarded Custodian Feb 14 reviewed Approve suggested edit on Lower bound on the sum of singular values for a sum of Hermitian matrices Feb 14 asked Lower bound on the sum of singular values for a sum of Hermitian matrices Feb 12 awarded Popular Question Jan 28 accepted Eliminating a nuisance parameter in likelihood ratio test Jan 12 awarded Supporter Dec 19 accepted Simpler proof of an integral representation of Bessel function of the first kind $J_n(x)$ Dec 19 comment Simpler proof of an integral representation of Bessel function of the first kind $J_n(x)$Yup, I had the same substitutions in mind, except into (2) to show (1). It was really simple once recalled that $e^{in\tau}$ has a period of $2\pi$ over angle $\tau$ for integer $n$. Didn't get around to updating my post, but you should still get the credit for reminding me of that. :) Dec 19 comment Simpler proof of an integral representation of Bessel function of the first kind $J_n(x)$Ahhh -- I think I got it! Of course, $e^{in\tau}$ has a period of $2\pi$ as long as $n$ is an integer. Since cosine also has a periodic of $2\pi$, everything works! Thank you, I'll update my post either tonight or tomorrow. Dec 18 comment Simpler proof of an integral representation of Bessel function of the first kind $J_n(x)$Unfortunately, I am not very strong at solving differential equations (having never taken a course on them), but I'll look into this one. I tried the substitution that you mentioned, but couldn't get it to work, since I couldn't find a way to get the right limits of the integral... Dec 18 asked Simpler proof of an integral representation of Bessel function of the first kind $J_n(x)$ Oct 27 revised Summation of an integral involving Laguerre polynomial and Bessel functionfixed omission Oct 27 asked Summation of an integral involving Laguerre polynomial and Bessel function Oct 16 revised Approximating two-dimensional convolutionsolved the problem Oct 14 asked Approximating two-dimensional convolution Oct 5 accepted Equation involving an error and Gaussian functions