Orthogonal polynomials and generalized Gauss-Rys quadrature formulae

Joint Authors

Milovanovic, Gradimir
Vasovic, Nevena

Source

Kuwait Journal of Science

Issue

Vol. 49, Issue 1 (31 Jan. 2022), pp.1-17, 17 p.

Publisher

Kuwait University Academic Publication Council

Publication Date

2022-01-31

Country of Publication

Kuwait

No. of Pages

17

Main Subjects

Mathematics

Abstract EN

Orthogonal polynomials and the corresponding quadrature formulas of Gaussian type with respect to the even weight function $\omega^{\lambda}(t;x)=\exp(-x t^2)(1-t^2)^{\lambda-1/2}$ on $(-1,1)$, with parameters $\lambda>-1/2$ and $x>0$, are considered.

For $\lambda=1/2$ these quadrature rules reduce to the so-called Gauss-Rys quadrature formulas, which were investigated earlier by several authors, e.g., Dupuis, Rys, King (1976 and 1983), Sagar (1992), Schwenke (2014), Shizgal (2015), King (2016), Milovanovi\'c (2018), etc.

In this generalized case the method of modified moments is used, as well as a transformation of quadratures on $(-1, 1)$ with $N$ nodes to ones on $(0,1)$ with only $(N+1)/2$ nodes.

Such an approach provides a stable and very efficient numerical construction.

American Psychological Association (APA)

Milovanovic, Gradimir& Vasovic, Nevena. 2022. Orthogonal polynomials and generalized Gauss-Rys quadrature formulae. Kuwait Journal of Science،Vol. 49, no. 1, pp.1-17.
https://search.emarefa.net/detail/BIM-1500111

Modern Language Association (MLA)

Milovanovic, Gradimir& Vasovic, Nevena. Orthogonal polynomials and generalized Gauss-Rys quadrature formulae. Kuwait Journal of Science Vol. 49, no. 1 (Jan. 2022), pp.1-17.
https://search.emarefa.net/detail/BIM-1500111

American Medical Association (AMA)

Milovanovic, Gradimir& Vasovic, Nevena. Orthogonal polynomials and generalized Gauss-Rys quadrature formulae. Kuwait Journal of Science. 2022. Vol. 49, no. 1, pp.1-17.
https://search.emarefa.net/detail/BIM-1500111

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 16-17

Record ID

BIM-1500111