The 2014 paper "Iteration-Free Computation of Gauss--Legendre Quadrature Nodes and Weights" by I. Bogaert (https://doi.org/10.1137/140954969) contains the following expression in Appendix A:

Expression from the paper.

What is the meaning of the "LL" here? It is not defined in the body of the paper and it's such a commonly occurring character sequence that Googling for it has proven futile.

  • 4
    $\begingroup$ that may be just a typo. have you tried asking the author of the paper? his contact details are in the footnote on page 1. $\endgroup$
    – GoHokies
    Commented Mar 16, 2018 at 14:00
  • $\begingroup$ Maybe there was some \LL latex macro, but they forgot `\`? $\endgroup$
    – Kirill
    Commented Mar 16, 2018 at 15:09
  • 4
    $\begingroup$ This is corroborated by the preprint (biblio.ugent.be/publication/5683230/file/5683237.pdf), which does not contain the LL. (I refrain from commenting on the effect of publisher copy-editing on mathematical correctness and merely remark that a general strategy for such -- and similar -- cases is to try to find a preprint and see if it the formula is clearer there: a preprint is usually updated if serious mathematical typos are found in press, but a published paper is rarely corrected unless the author takes the blame.) $\endgroup$ Commented Mar 16, 2018 at 15:17
  • 2
    $\begingroup$ Just as a confirmation, another "post-pring" I found was on ResearchGate: researchgate.net/publication/… where the LL symbol does not appear. $\endgroup$
    – Anton Menshov
    Commented Mar 16, 2018 at 21:15


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Browse other questions tagged or ask your own question.