On \(d\)-orthogonal Tchebychev polynomials. II
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Publication:1383448
DOI10.4310/MAA.1997.v4.n4.a3zbMath0904.33003MaRDI QIDQ1383448
Publication date: 26 January 1999
Published in: Methods and Applications of Analysis (Search for Journal in Brave)
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)
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\(d\)-orthogonality and \(q\)-Askey-scheme ⋮ \(d\)-orthogonality via generating functions ⋮ On \(d\)-orthogonal Tchebychev polynomials. I ⋮ Classical \(2\)-orthogonal polynomials and differential equations ⋮ \(d\)-orthogonality of discrete \(q\)-Hermite type polynomials ⋮ Some discrete \(d\)-orthogonal polynomial sets. ⋮ Some generalized hypergeometric \(d\)-orthogonal polynomial sets ⋮ \(d\)-orthogonality of little \(q\)-Laguerre type polynomials ⋮ On \(d\)-symmetric classical \(d\)-orthogonal polynomials ⋮ On the zeros of \(d\)-symmetric \(d\)-orthogonal polynomials ⋮ On semi‐classical d‐orthogonal polynomials ⋮ \(d\)-Orthogonality of Hermite type polynomials ⋮ Riordan arrays and \(d\)-orthogonality ⋮ Discrete Hahn-classicald-orthogonal polynomials ⋮ Limit relations involving 2-orthogonal polynomials ⋮ Linear combinations of \(d\)-orthogonal polynomials ⋮ Asymptotic relations involving \(d\)-orthogonal polynomials ⋮ Three-fold symmetric Hahn-classical multiple orthogonal polynomials ⋮ On a new class of 2-orthogonal polynomials, I: the recurrence relations and some properties ⋮ On Askey-scheme and \(d\)-orthogonality. I: A characterization theorem ⋮ 2-Orthogonal polynomials and Darboux transformations. Applications to the discrete Hahn-classical case ⋮ Third-order self-associated orthogonal polynomial sequences ⋮ Some new d-orthogonal polynomial sets of Sheffer type
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