On Polar Jacobi Polynomials

Abstract

In the present work, we investigate certain algebraic and differential properties of the orthogonal polynomials with respect to a discrete–continuous Sobolev-type inner product defined in terms of the Jacobi measure.

Keywords

• orthogonal polynomials
• Jacobi polynomials
• recurrence relations
• polar polynomials
• location of zeros
• asymptotic behavior