4.4 Article

Quadratic Decomposition of Bivariate Orthogonal Polynomials

Related references

Note: Only part of the references are listed.
Article Mathematics

On a Symmetric Generalization of Bivariate Sturm-Liouville Problems

Yves Guemo Tefo et al.

Summary: A new class of partial differential equations with symmetric orthogonal solutions is introduced in this study, where orthogonality is obtained using the Sturm-Liouville approach. The general case is analyzed in detail, providing orthogonality weight function, three-term recurrence relations for monic orthogonal polynomial solutions, and explicit form of these solutions.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY (2022)

Article Mathematics

Connection coefficients for classical orthogonal polynomials of several variables

Plamen Iliev et al.

ADVANCES IN MATHEMATICS (2017)

Article Mathematics, Applied

On linearly related orthogonal polynomials in several variables

Manuel Alfaro et al.

NUMERICAL ALGORITHMS (2014)

Article Mathematics, Applied

Quadratic decomposition of symmetric semi-classical polynomial sequences of even class: an example from the case s=2

P. Maroni et al.

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS (2012)

Article Mathematics

Quadratic decomposition of Laguerre polynomials via lowering operators

Ana F. Loureiro et al.

JOURNAL OF APPROXIMATION THEORY (2011)

Article Mathematics

On orthogonal polynomials obtained via polynomial mappings

M. N. de Jesus et al.

JOURNAL OF APPROXIMATION THEORY (2010)

Article Mathematics, Applied

General quadratic decomposition

A. Macedo et al.

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS (2010)

Article Mathematics

Quadratic decomposition of Appell sequences

Ana F. Loureiro et al.

EXPOSITIONES MATHEMATICAE (2008)