A Projection Formula for the Askey-Wilson Polynomials and an Application

DOI10.2307/2047092zbMath0653.33007OpenAlexW4238782683MaRDI QIDQ3798968

Mizan Rahman

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047092

zbMATH Keywords

Jacobi polynomialsultraspherical polynomials

Mathematics Subject Classification ID

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

Related Items (1)

The bi-Poisson process: A quadratic harness

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A product formula for the continuous q-Jacobi polynomials
• Integral representations for Jacobi polynomials and some applications
• On the positivity of certain sums of ultraspherical polynomials
• Projection Formulas, a Reproducing Kernel and a Generating Function for q-Wilson Polynomials
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• An integral Representation of a ₁₀ϕ₉ and Continuous Bi-Orthogonal ₁₀ϕ₉ Rational Functions
• Positivity of the Poisson Kernel for the Continuous q-Jacobi Polynomials and Some Quadratic Transformation Formulas for Basic Hypergeometric Series
• A Non-Negative Representation of the Linearization Coefficients of the Product of Jacobi Polynomials
• Projection Formulas and a New Proof of the Addition Formula for the Jacobi Polynomials
• Jacobi Polynomials, III. An Analytic Proof of the Addition Formula
• Jacobi Polynomials, I. New Proofs of Koornwinder’s Laplace Type Integral Representation and Bateman’s Bilinear Sum
• Jacobi Polynomials, II. An Analytic Proof of the Product Formula
• On the Transformation Theory of Basic Hypergeometric Functions

This page was built for publication: A Projection Formula for the Askey-Wilson Polynomials and an Application