This chapter investigates several properties of the U-Bernoulli–Korobov polynomials, which are defined by the following generating function: (10.1) We examine both their algebraic and differential characteristics, with particular emphasis on the distribution of their zeros. Numerical examples are provided to illustrate the behavior of these polynomials and to highlight the structure of their corresponding meshes.

Main results on U-Bernoulli–Korobov-type polynomials and their approximate roots

Clemente Cesarano
;
William Ramirez
2026-01-01

Abstract

This chapter investigates several properties of the U-Bernoulli–Korobov polynomials, which are defined by the following generating function: (10.1) We examine both their algebraic and differential characteristics, with particular emphasis on the distribution of their zeros. Numerical examples are provided to illustrate the behavior of these polynomials and to highlight the structure of their corresponding meshes.
2026
Bernoulli polynomialsU-Bernoulli–KorobovDiscrete orthogonal polynomials
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14086/9741
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