Old and new results about relativistic Hermite polynomials

DOI10.1063/1.3637747zbMath1272.33012arXiv0911.5513OpenAlexW1990339573MaRDI QIDQ2849790

Christophe Vignat

Publication date: 24 September 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.5513

Mathematics Subject Classification ID

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

Related Items (1)

Hermite polynomials and their applications associated with Bernoulli and Euler numbers

Cites Work

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• Some identities for the moments of random variables having a linear rescaling the Student's \(t\) distribution
• Integral transforms and Chebyshev-like polynomials.
• Determinants with orthogonal polynomial entries
• Moment representation of Bernoulli polynomial, Euler polynomial and Gegenbauer polynomials
• Second order exponential differential operator and generalized Hermite polynomials
• On certain determinants whose elements are orthogonal polynomials
• The relativistic Hermite polynomial is a Gegenbauer polynomial
• Relativistic orthogonal polynomials are Jacobi polynomials
• Three Finite Classes of Hypergeometric Orthogonal Polynomials and Their Application in Functions Approximation
• A generalized quantum nonlinear oscillator

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