TL;DR
This paper explores algebraic and differential properties of Jacobi polynomials within a Sobolev-type inner product framework combining discrete and continuous measures.
Contribution
It introduces new algebraic and differential characterizations of Jacobi polynomials under a Sobolev-type inner product.
Findings
Derived new differential equations for the polynomials.
Established orthogonality properties in the Sobolev setting.
Analyzed algebraic structures related to the 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.
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