Classical orthogonal polynomials with weight function ((ax + b)2 + (cx + d)2)pexp(qArctg((ax + b)/(cx + d))),x ∈ (

From MaRDI portal
Publication:4822857

DOI10.1080/10652460410001663456zbMath1055.33009OpenAlexW1973834658MaRDI QIDQ4822857

Mohammad Masjed-Jamei

Publication date: 25 October 2004

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

Full work available at URL: https://doi.org/10.1080/10652460410001663456




Related Items (26)

A new type of weighted quadrature rules and its relation with orthogonal polynomialsA basic class of symmetric orthogonal polynomials using the extended Sturm-Liouville theorem for symmetric functionsTwo classes of special functions using Fourier transforms of some finite classes of classical orthogonal polynomialsSpectral solutions for differential and integral equations with varying coefficients using classical orthogonal polynomialsOn Romanovski–Jacobi polynomials and their related approximation resultsHigh-order approximation of Pearson diffusion processesOn finite classes of two-variable orthogonal polynomialsComplete solution of the electrostatic equilibrium problem for classical weightsExplicit barycentric formulae for osculatory interpolation at roots of classical orthogonal polynomialsMultivariate inequalities of Chernoff type for classical orthogonal polynomialsInequalities of Chernoff type for finite and infinite sequences of classical orthogonal polynomialsA finite class of orthogonal functions generated by Routh–Romanovski polynomialsSome applications of a hypergeometric identitySpectral representation of transition density of Fisher–Snedecor diffusionA basic class of symmetric orthogonal functions with six free parametersOn constructing new expansions of functions using linear operatorsA basic class of symmetric orthogonal functions using the extended Sturm-Liouville theorem for symmetric functionsOn relationships between classical pearson distributions and Gauss hypergeometric functionBiorthogonal exponential sequences with weight function $\exp(ax^2+ibx)$ on the real line and an orthogonal sequence of trigonometric functionsNumerical approximation of high-dimensional Fokker-Planck equations with polynomial coefficientsStatistical Inference for Student Diffusion ProcessThe Szegö-Markov-Bernstein inequalities and barycentric representations of the osculatory interpolating operators for classical iterated weightsA generic polynomial solution for the differential equation of hypergeometric type and six sequences of orthogonal polynomials related to itStatistical inference for reciprocal gamma diffusion processA generalization of Student'st-distribution from the viewpoint of special functionsSome limit relationships between some two-variable finite and infinite sequences of orthogonal polynomials



Cites Work


This page was built for publication: Classical orthogonal polynomials with weight function ((ax + b)2 + (cx + d)2)pexp(qArctg((ax + b)/(cx + d))),x ∈ (