Hankel determinants and orthogonal polynomials.

DOI10.1016/S0723-0869(03)80010-5zbMath1153.15304OpenAlexW2072954932MaRDI QIDQ1812476

Alexandre Junod

Publication date: 11 January 2004

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0723-0869(03)80010-5

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (17)

Closed-form expression for Hankel determinants of the Narayana polynomials ⋮ Hankel determinants of sequences related to Bernoulli and Euler polynomials ⋮ Hankel transform of a series reversion of a certain rational function ⋮ Hankel determinants, Hahn polynomials, and a formula of Krattenthaler ⋮ Power series expansion of a Hankel determinant ⋮ On Hankel nonnegative definite sequences, the canonical Hankel parametrization, and orthogonal matrix polynomials ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Orthogonal polynomials approach to the Hankel transform of sequences based on Motzkin numbers ⋮ Finite differences and determinant identities ⋮ Orthogonal polynomials and Hankel determinants for certain Bernoulli and Euler polynomials ⋮ The Hankel transform of generalized central trinomial coefficients and related sequences ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Permutations, Moments, Measures ⋮ Coefficient problems of a class of q-starlike functions associated with q-analogue of Al-Oboudi-Al-Qahtani integral operator and nephroid domain ⋮ The Hankel transform of a sequence obtained by series reversion

Cites Work

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• A characterization of the Bell numbers
• Addition formulas for polynomials built on classical combinatorial sequences
• The Hankel Determinant of Exponential Polynomials

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