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Some new results on orthogonal polynomials for Laguerre type exponential weights

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Abstract

We prove some results on the root-distances and the weighted Lebesgue function corresponding to orthogonal polynomials for Laguerre type exponential weights.

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Authors and Affiliations

  1. Department of Mathematics, Computer Sciences and Economics, University of Basilicata, Via dell’Ateneo Lucano 10, 85100, Potenza, Italy

    G. Mastroianni & I. Notarangelo

  2. Department of Numerical Analysis, Loránd Eötvös University, Pázmány P. sétány 1/C, H-1117, Budapest, Hungary

    L. Szili

  3. Department of Differential Equations, Budapest University of Technology and Economics, Egry József u. 1., H-1111, Budapest, Hungary

    L. Szili

  4. Alfréd Rényi Institute of Mathematics, P.O.B. 127, H-1364, Budapest, Hungary

    P. Vértesi

Authors
  1. G. Mastroianni
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  2. I. Notarangelo
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  3. L. Szili
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  4. P. Vértesi
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Corresponding author

Correspondence to L. Szili.

Additional information

Dedicated to Professor József Szabados on his 80th birthday

The first author was partially supported by University of Basilicata (local funds).

The second author was partially supported by University of Basilicata (local funds) and by National Group of Computing Science INdAM–GNCS.

Research was supported by the Hungarian National Scientific Research Foundation (OTKA), No. K115804.

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Mastroianni, G., Notarangelo, I., Szili, L. et al. Some new results on orthogonal polynomials for Laguerre type exponential weights. Acta Math. Hungar. 155, 466–478 (2018). https://doi.org/10.1007/s10474-018-0841-8

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  • DOI: https://doi.org/10.1007/s10474-018-0841-8

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