Volterra-type convolution of classical polynomials
DOI10.1090/mcom/3427zbMath1428.42011arXiv1804.10144OpenAlexW2962785284WikidataQ128452711 ScholiaQ128452711MaRDI QIDQ5380096
Publication date: 14 June 2019
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.10144
Chebyshev polynomialsconvolutionorthogonal polynomialsJacobi polynomialsGegenbauer polynomialsLaguerre polynomialsLegendre polynomialsVolterra convolution integral
Convolution as an integral transform (44A35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Convolution, factorization for one variable harmonic analysis (42A85) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05)
Related Items (1)
Uses Software
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
- Unnamed Item
- Representations of orthogonal polynomials
- Generalized Burchnall-type identities for orthogonal polynomials and expansions
- Semi-classical character and finite-type relations between polynomial sequences
- Connection coefficients, orthogonal polynomials and the WZ-algorithms
- Connection coefficients between orthogonal polynomials and the canonical sequence: An approach based on symbolic computation
- Integral representations for Jacobi polynomials and some applications
- The special functions and their approximations. Vol. I, II
- Quadratic harnesses, $q$-commutations, and orthogonal martingale polynomials
- The Numerical Solution of Integral Equations of the Second Kind
- Convolutions for Orthogonal Polynomials from Lie and Quantum Algebra Representations
- General linearization formulae for products of continuous hypergeometric-type polynomials
- Results for some inversion problems for classical continuous and discrete orthogonal polynomials
- Spectral Approximation of Convolution Operators
- Green’s Functions with Applications, Second Edition
- The Mathematics of Signal Processing
- Solving connection and linearization problems within the Askey scheme and its \(q\)-analogue via inversion formulas
This page was built for publication: Volterra-type convolution of classical polynomials