Linearization and Krein-like functionals of hypergeometric orthogonal polynomials
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Publication:4644656
DOI10.1063/1.5055299zbMath1410.33027arXiv1812.07231OpenAlexW3105867953WikidataQ62517924 ScholiaQ62517924MaRDI QIDQ4644656
Irene V. Toranzo, Juan José Moreno Balcázar, Jesús S. Dehesera
Publication date: 8 January 2019
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.07231
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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Cites Work
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- Computational methods for generalized Sturmians basis
- Direct spreading measures of Laguerre polynomials
- Spreading lengths of Hermite polynomials
- Operational rules and a generalized Hermite polynomials
- Rényi entropies, \(L_q\) norms and linearization of powers of hypergeometric orthogonal polynomials by means of multivariate special functions
- On linearization coefficients of Jacobi polynomials
- A unified theory of polynomial expansions and their applications involving Clebsch-Gordan type linearization relations and Neumann series
- Linearization and connection coefficients for hypergeometric-type polynomials
- Representations of orthogonal polynomials
- Expansions in series of orthogonal hypergeometric polynomials
- Modified Clebsch-Gordan-type expansions for products of discrete hypergeometric polynomials
- Certain classes of polynomial expansions and multiplication formulas.
- Some Clebsch-Gordan type linearization relations and associated families of Dirichlet integrals.
- Remarks on some associated Laguerre integral results
- Entropic integrals of orthogonal hypergeometric polynomials with general supports
- Detailed ultraviolet asymptotics for AdS scalar field perturbations
- \(L^p\)-norms of Hermite polynomials and an extremal problem on Wiener chaos
- Recurrence equations and their classical orthogonal polynomial solutions
- Separation of variables and combinatorics of linearization coefficients of orthogonal polynomials
- Connection and linearization coefficients of the Askey-Wilson polynomials
- Linearization coefficients for orthogonal polynomials using stochastic processes
- Algebraic evaluation of matrix elements in the Laguerre function basis
- The Hahn polynomials in the nonrelativistic and relativistic Coulomb problems
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- Combinatorial Applications of Hermite Polynomials
- Clebsch-Gordan-type linearisation relations for the products of Laguerre polynomials and hydrogen-like functions
- A Non-Negative Representation of the Linearization Coefficients of the Product of Jacobi Polynomials
- Derangements and Laguerre polynomials
- ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS
- General linearization formulae for products of continuous hypergeometric-type polynomials
- Linearization of Arbitrary products of classical orthogonal polynomials
- Entropic uncertainty measures for large dimensional hydrogenic systems
- Computation of the Entropy of Polynomials Orthogonal on an Interval
- Some Integrals of the products of laguerre polynomials
- Numerical Methods for Special Functions
- Linearization of the Product of Jacobi Polynomials. III
- Generalized position and momentum Tsallis entropies
- Linearization and connection formulae involving squares of Gegenbauer polynomials
- Quantum information entropies and orthogonal polynomials
- Solving connection and linearization problems within the Askey scheme and its \(q\)-analogue via inversion formulas
- Some connection and linearization problems for polynomials in and beyond the Askey scheme
