Article ID: MTJPAM-D-22-00032

Title: Orthogonal Polynomials Concerning to the Abel and Lindelöf Weights and Their Modifications on the Real Line


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-22-00032; Volume 4 / Issue 3 / Year 2022 (Special Issue), Pages 166-174

Document Type: Research Paper

Author(s): Gradimir V. Milovanović a

aSerbian Academy of Sciences and Arts 11000 Belgrade, Serbia & University of Niš, Faculty of Sciences and Mathematics, Niš, Serbia

Received: 4 October 2022, Accepted: 15 October 2022, Published: 28 November 2022.

Corresponding Author: Gradimir V. Milovanović (Email address: gvm@mi.sanu.ac.rs)

Full Text: PDF

Abstract

Orthogonal polynomials related to Abel and Lindelöf weight functions on \mathbb{R}, as well as ones related to some products of these weight functions, are considered. Using the moments of the weight functions, the coefficients in the three-term recurrence relations are determined in the explicit form. Also, some connections with Meixner-Pollaczek polynomials with real parameters are presented.

Keywords: Orthogonal polynomials, Three-term recurrence relation, Weight functions of Abel and Lindelöf, Logistic weights, Moments, Hankel determinants, Meixner-Pollaczek polynomials, Gaussian quadrature

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