Recurrence relation approach for expansion and connection coefficients in series of Hahn polynomials

DOI10.1080/10652460600936146zbMath1104.33005OpenAlexW2004787128MaRDI QIDQ3422775

Hany M. Ahmed, Eid H. Doha

Publication date: 14 February 2007

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460600936146

zbMATH Keywords

recurrence relationslinear difference equationsconnection coefficientsHahnMeixnerKravchuk and Charlier polynomialsHahn expansion coefficients

Mathematics Subject Classification ID

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

Related Items (2)

Algorithms for construction of recurrence relations for the coefficients of the Fourier series expansions with respect to classical discrete orthogonal polynomials ⋮ Recurrence relation approach for expansion and connection coefficients in series of classical discrete orthogonal polynomials

Uses Software

• Mathematica

Cites Work

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• The coefficients of differentiated expansions and derivatives of ultraspherical polynomials
• A note on the Chebyshev coefficients of the moments of the general order derivative of an infinitely differentiable function
• A note on the Chebyshev coefficients of the general order derivative of an infinitely differentiable function
• Corrigendum: Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case
• On the limit relations between classical continuous and discrete orthogonal polynomials
• Connection problems for polynomial solutions of nonhomogeneous differential and difference equations
• Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case
• Representations of orthogonal polynomials
• Modified Clebsch-Gordan-type expansions for products of discrete hypergeometric polynomials
• Projection formulas for orthogonal polynomials of a discrete variable
• 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 numerical solution of linear recurrence relations
• The special functions and their approximations. Vol. I, II
• On the Legendre Coefficients of a General-Order Derivative of an Infinitely Differentiable Function
• Recurrence relations for connection coefficients betweenQ-orthogonal polynomials of discrete variables in the non-uniform lattice
• On the connection coefficients and recurrence relations arising from expansions in series of Laguerre polynomials
• On the construction of recurrence relations for the expansion and connection coefficients in series of Jacobi polynomials
• On the connection coefficients and recurrence relations arising from expansions in series of hermite polynomials
• On the coefficients of differentiated expansions and derivatives of Jacobi polynomials
• Recurrences and explicit formulae for the expansion and connection coefficients in series of Bessel polynomials
• A modification of Miller's recurrence algorithm
• Efficient algorithms for construction of recurrence relations for the expansion and connection coefficients in series of Al-Salam–Carlitz I polynomials
• Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable

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