On 2-orthogonal polynomials of Laguerre type

DOI10.1155/S0161171299220297zbMath0927.33006MaRDI QIDQ1283398

Khalfa Douak

Publication date: 26 May 1999

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48303

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (24)

Asymptotics of multiple orthogonal polynomials associated with the modified Bessel functions of the first kind. ⋮ Operational rules and d-orthogonal polynomials of Laguerre type ⋮ Two-orthogonal polynomial sequences as eigenfunctions of a third-order differential operator ⋮ Symbolic approach to 2-orthogonal polynomial solutions of a third order differential equation ⋮ On the Darboux transformations and sequences of \(p\)-orthogonal polynomials ⋮ Computing recurrence coefficients of multiple orthogonal polynomials ⋮ Multiple orthogonal polynomials with respect to Gauss' hypergeometric function ⋮ Some discrete \(d\)-orthogonal polynomial sets. ⋮ Some generalized hypergeometric \(d\)-orthogonal polynomial sets ⋮ On the quasi-orthogonality and Hahn-classicald-orthogonal polynomials ⋮ Around operators not increasing the degree of polynomials ⋮ Some Characterization Problems Related to Sheffer Polynomial Sets ⋮ On semi‐classical d‐orthogonal polynomials ⋮ Generalization of Jakimovski-Leviatan type Szasz operators ⋮ Discrete Hahn-classicald-orthogonal polynomials ⋮ Ond-orthogonal polynomials of Sheffer type ⋮ On inverse problem leading to second-order linear functionals ⋮ Frobenius-Padé approximants for \(d\)-orthogonal series: theory and computational aspects ⋮ Linear combinations of \(d\)-orthogonal polynomials ⋮ On a 2-orthogonal polynomial sequence via quadratic decomposition ⋮ On some operators varying the dimensional parameters of d-orthogonality ⋮ Mehler-Heine asymptotics for multiple orthogonal polynomials ⋮ On a new class of 2-orthogonal polynomials, I: the recurrence relations and some properties ⋮ 2-Orthogonal polynomials and Darboux transformations. Applications to the discrete Hahn-classical case

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