Quadratures and integral transforms arising from generating functions

DOI10.1016/j.amc.2016.11.001zbMath1411.65038OpenAlexW2552774829MaRDI QIDQ1735055

Francisco Marcellán, Rafael G. Campos

Publication date: 28 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2016.11.001

zbMATH Keywords

generating functionsintegral transformsorthogonal polynomialsquadratures

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical integration (65D30) General integral transforms (44A05)

Related Items (2)

Numerical inversion of the Laplace transform and its application to fractional diffusion ⋮ Formulas for Poisson-Charlier, Hermite, Milne-Thomson and other type polynomials by their generating functions and \(p\)-adic integral approach

Uses Software

• OPQ

Cites Work

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• A New Formulation of the Fast Fractional Fourier Transform
• Quadrature formulas for integrals transforms generated by orthogonal polynomials
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• The Fractional Order Fourier Transform and its Application to Quantum Mechanics
• Numerical simulation of reaction‐diffusion telegraph systems in unbounded domains
• Classical Expansions and Their Relation to Conjugate Harmonic Functions
• Poisson Integrals for Hermite and Laguerre Expansions
• Calculation of Gauss Quadrature Rules

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