Properties of the zeros of the classical polynomials and of the Bbessel functions

• DOI: 10.1007/bf02737517
• Publication Date: 2007-12-18T09:18:06Z
• Authors: S. Ahmed; M. Bruschi; F. Calogero; M. A. Olshanetsky; A. M. Perelomov
• Keywords: Diophantine approximation; Algebraic properties; Algebraic equation

Many algebraic equations satisfied by the zeros of the classical polynomials and of the Bessel functions are reported. Some of them are collected from recent papers; several of them are new; most of them display remarkable diophantine features. Certain matrices constructed with arbitrary numbers rather than the zeros of special functions, but displaying analogous diophantine properties, are also exhibited.