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awarded  Constituent
Dec
17
comment Definite integral over triple products of higher order Bessel functions.
Thank you for your answer.
Dec
16
awarded  Caucus
May
28
comment General expression for hypergeometric function ${}_1F{}_1(p, 1, x)$ when p is an integer
it seems the answer is Sum[(-x)^k/k!/(k + 1) Binomial[p, k], {k, 0, p}]==Hypergeometric1F1[-p, 2, x]
May
27
comment General expression for hypergeometric function ${}_1F{}_1(p, 1, x)$ when p is an integer
Ok never mind! What motivated the conjecture?
May
27
comment General expression for hypergeometric function ${}_1F{}_1(p, 1, x)$ when p is an integer
Would you know what Hypergeometric1F1[p, 2, x] could be? Its the only other one I need :-)
May
27
comment General expression for hypergeometric function ${}_1F{}_1(p, 1, x)$ when p is an integer
More generally its If[p > 0, Exp[x] LaguerreL[p - 1, -x], LaguerreL[-p, x]] for negative p to work as well.
May
27
comment General expression for hypergeometric function ${}_1F{}_1(p, 1, x)$ when p is an integer
Thanks so much! Its related to the spin of galaxies in large scales structures as it happens
May
27
revised General expression for hypergeometric function ${}_1F{}_1(p, 1, x)$ when p is an integer
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May
27
asked General expression for hypergeometric function ${}_1F{}_1(p, 1, x)$ when p is an integer
May
26
comment What is the generalization of Gauss's Theorem to a manifold?
I friend of mine (whom I passed your question) tells me that the answer to your question is on p. 147 & 148 of “Geometrical methods of mathematical physics” by Bernard Schutz. Regards
Apr
6
comment Perturbation theory PDEs
I would argue this was not your original post.
Mar
29
revised Maclaurin series and general terms
minor typo in title
Mar
29
suggested approved edit on Maclaurin series and general terms
Mar
27
comment Perturbation theory PDEs
If you apply the above procedure iteratively n times it will provide you with a solution up to order ϵ^n. What would be a converged solution in your view? Compared to a numerical solution?
Mar
27
comment Perturbation theory PDEs
It obeys the original equation at order ϵ^2 so that is more or less the definition of a perturbative solution. Note that the method would also work for the full blown problem of Ψ(r,t,p) it would just be more messy.
Mar
27
awarded  Teacher
Mar
26
comment Perturbation theory PDEs
@Lipschitz could you please explain to me why my answer is not answering your question?
Mar
23
revised Perturbation theory PDEs
added 63 characters in body
Mar
23
revised Perturbation theory PDEs
deleted 10 characters in body