A class of orthogonal polynomials related to the generalized Laguerre weight with two parameters
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We investigate a sequence of polynomials orthogonal with respect to the weight function, which appears in the error statistics in high speed optical fiber communication systems. Computation of these integrals by classical approach shows unexpectedly dubious accuracy. That is why we had to construct the new quadratures, to get more reliable results in our applications. Numerical procedure for quadrature construction is considered and its stability is discussed in detail.
KeywordsOrthogonal polynomials Error function Quadrature
Mathematics Subject Classification33C45 65D32
The research of the authors was supported by Ministry of Science of Republic Serbia through the projects 174011 and 174013. The authors wish to thank the anonymous reviewer for the careful reading and valuable comments which improved the quality of the paper.
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