Filipuk, Galina; Mañas-Mañas, Juan F. A differential equation for varying Krall-type orthogonal polynomials. (English) Zbl 1437.33013 Random Matrices Theory Appl. 9, No. 1, Article ID 2040002, 15 p. (2020). Summary: In this contribution, we consider varying Krall-type polynomials which are orthogonal with respect to a varying discrete Krall-type inner product. Our main goal is to give ladder operators for this family of polynomials as well as to find a second-order differential-difference equation that these polynomials satisfy. We generalize some results that appeared recently in the literature. MSC: 33C47 Other special orthogonal polynomials and functions 34A05 Explicit solutions, first integrals of ordinary differential equations 42C05 Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis Keywords:orthogonal polynomials; ladder operators; holonomic equation; varying weights PDFBibTeX XMLCite \textit{G. Filipuk} and \textit{J. F. 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