Classical multiple orthogonal polynomials of Angelesco system

DOI10.1016/j.apnum.2010.05.004zbMath1205.33014OpenAlexW1964496443MaRDI QIDQ608510

Sumit K. Garg

Publication date: 25 November 2010

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2010.05.004

zbMATH Keywords

recurrence relationdifferential equationAngelesco systemmultiple orthogonal polynomial

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

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Construction of the optimal set of quadrature rules in the sense of Borges

Cites Work

• Multiple orthogonal polynomials
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• Multiple orthogonal polynomials for classical weights
• Differential equations for multiple orthogonal polynomials with respect to classical weights: raising and lowering operators
• Properties of multiple Hermite and multiple Laguerre polynomials by the generating function
• Some classical multiple orthogonal polynomials
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