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Just an adult math student, trying to learn a few interesting things while passing through this world.


Oct
18
awarded  Notable Question
Sep
24
awarded  Autobiographer
Sep
5
awarded  Popular Question
Aug
28
comment Very difficult sum of series
@lincolo Wolfram Alpha seems to be able to evaluate it in closed form, so..m.wolframalpha.com/input/…
Aug
28
comment What is the Laplace Transform for the next equation?
@MSci Arturo Ortiz If the original equation is correct as it stands now, I don't think the answer is correct. The Laplace transform of a derivative should involve initial conditions somewhere.
Aug
28
awarded  Organizer
Aug
28
revised What is the Laplace Transform for the next equation?
changed tag from Laplace equation to Laplace transform
Aug
28
suggested approved edit on What is the Laplace Transform for the next equation?
Aug
28
comment What is the Laplace Transform for the next equation?
How did you get your solution? Can you show us your work?
Jul
2
awarded  Curious
May
23
comment Infinite sum of Bessel Functions
Drat, I just started work on the same answer! +1
May
23
comment Infinite sum of Bessel Functions
The formula $J_0(x + y) = J_0(x)J_0(y) - 2J_1(x)J_1(y) + 2J_2(x)J_2(y) - ...$ may come in useful here.
May
20
comment How to solve inhomogeneous Laguerre equation?
@Dmoreno For this particular ODE, if I have done my math correctly, when taking the Laplace transform all terms involving initial conditions cancel.
May
20
answered How to solve inhomogeneous Laguerre equation?
Apr
29
comment test for convergence $\sum_{n=1}^{\infty} \frac{1}{n^n}$
@JackYoon en.m.wikipedia.org/wiki/Sophomore's_dream
Apr
27
comment Bound on Bessel potential
You mean $C_s$ depends only on s, right?
Apr
17
comment How to find answer to the sum of series $\sum_{n=1}^{\infty}\frac{n}{2^n} $
Differentiate the geometric series.
Apr
16
comment Bessel Functions Proof
Use the identity here: en.m.wikipedia.org/wiki/Jacobi%E2%80%93Anger_expansion for $\sin(z\cos\theta)$, and apply the orthogonality of cosines of the form $\cos(n\theta), \cos([2n-1]\theta)$ on the interval $[0, \frac{\pi}{2}] $.
Apr
4
comment integral involving incomplete gamma function
I think integration by parts should work, using the definition of the derivative of the incomplete gamma function wrt y given on the wikipedia page.
Apr
4
comment Numerical Solution of $\frac{x}{1-e^{-x}} -5 = 0$
The solution can be expressed in terms of the Lambert W function, $x = W(\frac{-5}{e^5}) + 5$