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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 ($y<z$ and $y>z$). 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?
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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 $n\geq 2$.