Some Clebsch-Gordan type linearization relations and associated families of Dirichlet integrals.

DOI10.1016/S0895-7177(03)00003-7zbMath1076.33008OpenAlexW2092084754MaRDI QIDQ1410967

A. W. Niukkanen, Hari M. Srivastava

Publication date: 15 October 2003

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(03)00003-7

zbMATH Keywords

Laguerre polynomialsDirichlet integralsChu-Vandermonde summation theoremHypergeometric polynomialsPolynomial expansionsClebsch-Gordan type linearization relations

Mathematics Subject Classification ID

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

Related Items (9)

Some new formulas for the products of the Apostol type polynomials ⋮ Information-theoretic-based spreading measures of orthogonal polynomials ⋮ Direct spreading measures of Laguerre polynomials ⋮ Summation formulas for the products of the Frobenius-Euler 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 ⋮ Rényi entropies for multidimensional hydrogenic systems in position and momentum spaces ⋮ Linearization and Krein-like functionals of hypergeometric orthogonal polynomials ⋮ Generalized Wehrl entropies and Euclidean Landau levels

Cites Work

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• A unified theory of polynomial expansions and their applications involving Clebsch-Gordan type linearization relations and Neumann series
• Weighted permutation problems and Laguerre polynomials
• Certain classes of generating functions for the Jacobi and related hypergeometric polynomials.
• Clebsch-Gordan-type linearisation relations for the products of Laguerre polynomials and hydrogen-like functions
• Some Integrals of the products of laguerre polynomials
• The Confluent Hypergeometric Function

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