Revista de Matemática: Teoría y Aplicaciones (Feb 2009)

A formula for complex zonal polynomials of second order

  • Francisco J. Caro Lopera,
  • Graciela González Farías,
  • José A. Díaz García

DOI
https://doi.org/10.15517/rmta.v13i1.266
Journal volume & issue
Vol. 13, no. 1
pp. 35 – 39

Abstract

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A formula for complex zonal polynomials of second order is derived by solving a particular partial differential equation. Keywords: Laplace-Beltrami operator, zonal polynomials, Hermitian matrix, Legendre’s differential equation.