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Jun 16, 2020 at 9:23 history edited CommunityBot
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S Feb 19, 2016 at 0:57 history closed user9660
MarcoB
Yves Klett
Jens
m_goldberg
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S Feb 19, 2016 at 0:57 comment added m_goldberg I'm voting to close this question as off-topic because the issue it raises is not a Mathematica issue but a mathematical one. That it is formulated in terms of Mathematica is not sufficient to make it an appropriate question for Mathematica.SE.
Feb 19, 2016 at 0:53 history edited m_goldberg CC BY-SA 3.0
Minor clean-up
Feb 18, 2016 at 9:21 comment added rhermans Will this ultimately become a Mathematica question? Shouldn't the OP include Mathematica code defining the relevant functions and of the attempts so far? Some focus on the programmatic tools that allow the integral to be resolved? This is already been nominated to close on ground of "unclear what you're asking".
Feb 18, 2016 at 8:01 review Close votes
Feb 19, 2016 at 0:59
Mar 6, 2014 at 4:37 history tweeted twitter.com/#!/StackMma/status/441432471625023489
Mar 1, 2014 at 18:53 review Close votes
Mar 2, 2014 at 1:28
Mar 1, 2014 at 1:54 comment added zakk @george2079: it should converge, at least it is eq. 5 in this paper: journals.aps.org/prl/pdf/10.1103/PhysRevLett.74.1633 The authors refer to an unpublished paper for the numerical part, commenting as follows: letting $x=\tan(\beta)$, we set up a Gaussian-quadrature grid for $\beta$ and convert the above equations into a matrix form which can be solved iteratively. The logarithmic singularities are treated separately.
Feb 28, 2014 at 23:20 history edited zakk CC BY-SA 3.0
deleted 4 characters in body
Feb 28, 2014 at 19:53 comment added george2079 At a glance I'm having a hard time seeing how that integral could possibly converge for a<x<b. Assuming i'm wrong and it does converge your challenge is to develop a quadrature rule that is accurate at the singular point. Have fun..! (I think this really is a math.stackexchange question in any case) (BTW The right most "=1" is a typo right..?)
Feb 28, 2014 at 16:47 comment added zakk I edited the question to include some more details! Thank you for your links!
Feb 28, 2014 at 16:46 history edited zakk CC BY-SA 3.0
added 167 characters in body
Feb 28, 2014 at 16:32 comment added Daniel Lichtblau I do not have an answer offhand (would require, at minimum, a specific K,f pair), but here are some links that might contain helpful approaches. Check Moe, Larry, and Curly (I really need some pointers on naming my links).
Feb 28, 2014 at 12:12 history asked zakk CC BY-SA 3.0