Fabian
Reputation
13,774
116/100 score
 Apr 26 comment Why is this integral not correct? Did you plot $x^{-4}$ in the interval $-2$ to $1$? Apr 23 reviewed Approve integrate $\int_0^\pi\frac {1-\alpha^2}{1-2\alpha\cos x +\alpha^2} dx$ Apr 20 comment Integral over product of 1/x, exp(-x), J0 and J1 Bessel function @user3582129: it turns out that the result in Gradshteyn is incorrect. I rederived the results. It makes sense to distinguish two cases ($yz$). Also for $\lambda=0$ one should take the limit by hand. I have given the results in my answer. I hope this helps (the expressions converge rather quickly). Apr 20 revised Integral over product of 1/x, exp(-x), J0 and J1 Bessel function added 931 characters in body Apr 20 revised Integral over product of 1/x, exp(-x), J0 and J1 Bessel function edited body Apr 19 comment Integral over product of 1/x, exp(-x), J0 and J1 Bessel function @user3582129: the final sum is alternating (note that ${}_2F_1$ is always a positive number). Summing an alternating series is much easier to evaluate numerically than an oscillating integral. Apr 19 revised Proof that the Laplacian of Poisson's fundamental solution is zero everywhere except at the origin? deleted 2 characters in body Apr 19 revised Proof that the Laplacian of Poisson's fundamental solution is zero everywhere except at the origin? edited body Apr 19 comment Fundamental solution of Laplacian in 2d doesn't agree with 3d version physically? I believe that it doesn't seem right intuitively, because you have spent too much of your time in 3D. Apr 19 reviewed Leave Open Let $a,b,c,d$ are non-zero real numbers such that $6a+4b+3c+3d=0$,then the equation $ax^3+bx^2+cx+d=0$ has Apr 19 reviewed Close Derangements One to One Functions Apr 19 reviewed Close How do I solve this recurrence relation and prove by induction? Apr 19 reviewed Close is the sequence $[ne]$ convergence? Apr 19 reviewed Close Continuity of $f(x,y,z)=1/(x+y+z-\sqrt{3})$ Apr 19 reviewed Close Show that this function continuous in entire complex plane: Apr 19 reviewed Leave Open Expectation of martingales Apr 19 reviewed Leave Open Can some mathematical objects exist without set theory? Apr 19 reviewed Leave Open Can an alternating series ever be absolutely convergent? Apr 19 reviewed Leave Open Is there anyway to find how many prime factors has a composite number without knowing them? Apr 19 reviewed Close Use induction on n to show that $\left | G_{n} \right |\leq n!$ for $n\geq 2$.