A class of orthogonal polynomials related to the generalized Laguerre weight with two parameters

  • Predrag M. Rajković
  • Sladjana D. Marinković
  • Marko D. PetkovićEmail author


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.


Orthogonal polynomials Error function Quadrature 

Mathematics Subject Classification

33C45 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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Copyright information

© SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2019

Authors and Affiliations

  • Predrag M. Rajković
    • 1
  • Sladjana D. Marinković
    • 2
  • Marko D. Petković
    • 3
    Email author
  1. 1.Faculty of Mechanical EngineeringUniversity of NišNišSerbia
  2. 2.Faculty of Electronic EngineeringUniversity of NišNišSerbia
  3. 3.Faculty of Sciences and MathematicsUniversity of NišNišSerbia

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