RECURRENCE RELATIONS FOR SOBOLEV ORTHOGONAL POLYNOMIALS

Abstract

We consider recurrence relations for the polynomials orthonormal with respect to the Sobolev-type inner product and generated by classical orthogonal polynomials, namely: Jacobi polynomials, Legendre polynomials, Chebyshev polynomials of the first and the second kind, Gegenbauer (ultraspherical) polynomials, Hermite polynomials.

Keywords

• sobolev orthogonal polynomials
• recurrence relations
• jacobi polynomials
• legendre polynomials
• chebyshev polynomials
• ultraspherical polynomials
• gegenbauer polynomials
• hermite polynomials
• laguerre polynomials
• special polynomials