An Application of Sobolev Orthogonal Polynomials to the Computation of a Special Hankel Determinant

  • Paul Barry
  • Predrag M. Rajković
  • Marko D. Petković
Part of the Springer Optimization and Its Applications book series (SOIA, volume 42)


Many Hankel determinant computations arising in combinatorial analysis can be done using results from the theory of standard orthogonal polynomials. Here, we will emphasize special sequences which require the inclusion of discrete Sobolov orthogonality to find their closed form.


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This research was supported by the Science Foundation of Republic Serbia, Project No. 144023 and Project No. 144011.


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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Paul Barry
    • 1
  • Predrag M. Rajković
    • 2
  • Marko D. Petković
    • 3
  1. 1.School of ScienceWaterford Institute of TechnologyWaterfordIreland
  2. 2.Faculty of Mechanical EngineeringUniversity of NišNišSerbia
  3. 3.Faculty of Sciences and MathematicsUniversity of NišNišSerbia

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