Derivatives of a finite class of orthogonal polynomials related to inverse gamma distribution

DOI10.1016/j.amc.2011.11.078zbMath1241.33014OpenAlexW2116600448MaRDI QIDQ422855

Pradeep Malik, Anbhu Swaminathan

Publication date: 18 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.11.078

zbMATH Keywords

orthogonal polynomialshypergeometric functionsgenerating functionrecurrence relationquadrature rulesFourier transformationRodrigues' formula

Mathematics Subject Classification ID

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

Related Items (4)

Unnamed Item ⋮ Unnamed Item ⋮ Higher order derivatives of R-Jacobi polynomials ⋮ SOME COMPOSITION FORMULAS OF JACOBI TYPE ORTHOGONAL POLYNOMIALS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Derivatives of a finite class of orthogonal polynomials defined on the positive real line related to \(F\)-distribution
• Orthogonal polynomials on the unit circle and their derivatives
• Weighted quadrature rules with weight function \(x^{-p} e^{-\frac {1}{x}}\) on \([0,\infty )\)
• Asymptotics of derivatives of orthogonal polynomials on the unit circle
• Classical orthogonal polynomials: A functional approach
• On certain determinants whose elements are orthogonal polynomials
• Certain differential equations for Tchebycheff polynomials
• Three Finite Classes of Hypergeometric Orthogonal Polynomials and Their Application in Functions Approximation
• On a conjecture by Karlin and Szegö
• On Jacobi and continuous Hahn polynomials
• Calculation of Gauss Quadrature Rules
• Construction of Gauss-Christoffel Quadrature Formulas
• Another Characterization of the Classical Orthogonal Polynomials
• On derivatives of orthogonal polynomials
• On derivatives of orthogonal polynomials. II
• Generating Functions for Bessel and Related Polynomials

This page was built for publication: Derivatives of a finite class of orthogonal polynomials related to inverse gamma distribution