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Orthogonal polynomials relative to weight functions of Prudnikov type

Abstract

Moment-based methods are used to generate the three-term recurrence relation for polynomials orthogonal with respect to the Prudnikov, the generalized Prudnikov, and Prudnikov-type weight functions and their symmetric extensions. All procedures developed are implemented, and made available, in MATLAB software.

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Acknowledgements

The authors thank Walter Van Assche for drawing their attention to related work on multiple orthogonal polynomials in [2, 8], and [12].

Funding

The work of the second author was supported in part by the Serbian Academy of Sciences and Arts (Φ-96).

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Correspondence to Walter Gautschi.

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Gautschi, W., Milovanović, G.V. Orthogonal polynomials relative to weight functions of Prudnikov type. Numer Algor (2021). https://doi.org/10.1007/s11075-021-01187-6

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Keywords

  • Orthogonal polynomials
  • Prudnikov-type weight functions
  • Three-term recurrence relation

Mathematics Subject Classification (2010)

  • 15B52
  • 33-04
  • 33C47