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

Diophantine approximation Algebraic properties Algebraic equation
DOI: 10.1007/bf02737517 Publication Date: 2007-12-18T09:18:06Z
ABSTRACT
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.
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