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Orthogonal polynomials relative to weight functions of Prudnikov type

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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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Authors and Affiliations

  1. Department of Computer Science, Purdue University, West Lafayette, IN, 47907-2066, USA

    Walter Gautschi

  2. Serbian Academy of Sciences and Arts, 11000, Belgrade, Kneza Mihaila 35, Serbia

    Gradimir V. Milovanović

  3. University of Niš, Faculty of Sciences, 18000, Niš, Serbia

    Gradimir V. Milovanović

Authors
  1. Walter Gautschi
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  2. Gradimir V. Milovanović
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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 90, 263–270 (2022). https://doi.org/10.1007/s11075-021-01187-6

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  • DOI: https://doi.org/10.1007/s11075-021-01187-6

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