Electrostatic Models for Zeros of Laguerre-Sobolev Polynomials Articles uri icon

publication date

  • October 2024

start page

  • 1

end page

  • 26

issue

  • 7

volume

  • 21

International Standard Serial Number (ISSN)

  • 1660-5446

Electronic International Standard Serial Number (EISSN)

  • 1660-5454

abstract

  • We provide a formula that relates the Laguerre-Sobolev polynomials to the classical Laguerre polynomials. We find the ladder operators for the polynomial sequence and a second-order differential equation with polynomial coefficients for . We establish a sufficient condition for an electrostatic model of the zeros of orthogonal Laguerre-Sobolev polynomials. Some examples are given where this condition is either satisfied or not.

subjects

  • Mathematics

keywords

  • laguerre polynomials; sobolev orthogonality; second-order differential equation; electrostatic model