A representation formula of sum rules for zeros of polynomials

DOI10.1007/BF02844663zbMath0768.34054OpenAlexW2048555621MaRDI QIDQ1202745

Paolo Emilio Ricci

Publication date: 3 February 1993

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02844663

zbMATH Keywords

orthogonal polynomialssum ruleseigenfunctionLucas polynomialslinear differential operator

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Other hypergeometric functions and integrals in several variables (33C70) Real polynomials: location of zeros (26C10)

Cites Work

• On the polynomial solutions of ordinary differential equations of the fourth order
• On the zeros of eigenfunctions of polynomial differential operators
• Sum rules for zeros of polynomials. I
• An Explicit Formula for $f(\mathcal{A})$ and the Generating Functions of the Generalized Lucas Polynomials
• Solution of the Difference Equations of Generalized Lucas Polynomials
• Unnamed Item

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