Modified Clebsch-Gordan-type expansions for products of discrete hypergeometric polynomials

DOI10.1016/S0377-0427(97)00244-6zbMath0909.33006WikidataQ58363471 ScholiaQ58363471MaRDI QIDQ1392798

Jesús S. Dehesera, Rafael Yáñez, Renato Álvarez-Nodarse

Publication date: 8 April 1999

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Meixner polynomialsKrawtchouk polynomialsconnection coefficientsCharlier polynomialsHahn polynomialsPochhammer polynomialsStirling polynomialsRodrigues type formula

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Appell, Horn and Lauricella functions (33C65)

Related Items (20)

Coefficients of multiplication formulas for classical orthogonal polynomials ⋮ Relative Fisher information of discrete classical orthogonal polynomials ⋮ Algorithms for construction of recurrence relations for the coefficients of the Fourier series expansions with respect to classical discrete orthogonal polynomials ⋮ Linearization coefficients for Sheffer polynomial sets via lowering operators ⋮ Exact and simple formulas for the linearization coefficients of products of orthogonal polynomials and physical application ⋮ Divided-difference equation, inversion, connection, multiplication and linearization formulae of the continuous Hahn and the Meixner-Pollaczek polynomials ⋮ Rényi entropies, \(L_q\) norms and linearization of powers of hypergeometric orthogonal polynomials by means of multivariate special functions ⋮ Asymptotics \((p\to\infty)\) of \(L_p\)-norms of hypergeometric orthogonal polynomials ⋮ On linearization and connection coefficients for generalized Hermite polynomials ⋮ Linearization and Krein-like functionals of hypergeometric orthogonal polynomials ⋮ On the connection and linearization problem for discrete hypergeometric \(q\)-polynomials ⋮ Linearization and connection formulae involving squares of Gegenbauer polynomials ⋮ Connection coefficients between Boas--Buck polynomial sets ⋮ 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 ⋮ Recurrence relation approach for expansion and connection coefficients in series of classical discrete orthogonal polynomials ⋮ Recurrences and explicit formulae for the expansion and connection coefficients in series of classical discrete orthogonal polynomials ⋮ Linearization and connection coefficients for hypergeometric-type polynomials ⋮ On the linearization problem involving Pochhammer symbols and their \(q\)-analogues ⋮ Recurrence relation approach for expansion and connection coefficients in series of Hahn polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hypergeometric solutions of linear recurrences with polynomial coefficients
• Linearization and connection coefficients of orthogonal polynomials
• Numerical integration using Rys polynomials
• Convolution structures for Laguerre polynomials
• Linearization and connection coefficients for hypergeometric-type polynomials
• Linearization of the product of symmetric orthogonal polynomials
• Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case
• Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case
• Expansions in series of orthogonal hypergeometric polynomials
• Projection formulas for orthogonal polynomials of a discrete variable
• Fourth-order differential equations satisfied by the generalized co- recursive of all classical orthogonal polynomials. A study of their distribution of zeros
• Recurrence relations for connection coefficients between two families of orthogonal polynomials
• Second-order recurrence relation for the linearization coefficients of the classical orthogonal polynomials
• The special functions and their approximations. Vol. I, II
• Expansions of Hypergeometric Functions in Hypergeometric Functions
• Clebsch-Gordan-type linearisation relations for the products of Laguerre polynomials and hydrogen-like functions
• Connection Coefficients of Orthogonal Polynomials
• The distribution of zeros of generalq-polynomials
• Explicit formula for the multiple generating function of product of generalized Laguerre polynomials
• Second-order Sturm-Liouville difference equations and orthogonal polynomials
• Linearization of the product of orthogonal polynomials of a discrete variable
• An operator approach to the construction of generating functions for products of associated Laguerre polynomials
• Recurrence relations for connection coefficients betweenQ-orthogonal polynomials of discrete variables in the non-uniform lattice
• Results for some inversion problems for classical continuous and discrete orthogonal polynomials
• Polynomial solutions of hypergeometric type difference equations and their classification
• Orthogonal Expansions with Positive Coefficients
• Recursion Formulae of Hypergeometric Functions
• An Integral Representation and Some Summation Formulas for the Hahn Polynomials
• Krawtchouk Polynomials and the Symmetrization of Hypergroups
• Corrigenda
• Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable

This page was built for publication: Modified Clebsch-Gordan-type expansions for products of discrete hypergeometric polynomials