A representation formula of sum rules for zeros of polynomials
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A representation formula in terms of Lucas polynomials of the second kind in several variables (see formula (4.3)), for the sum rulesJ s (i) introduced by K.M. Case  and studied by J.S. Dehesa et al. – in order to obtain informations about the zeros’ distribution of eigenfunctions of a class of ordinary polynomial differential operator, is derived.
KeywordsDifferential Operator Symmetric Function Representation Formula Polynomial Solution Negative Index
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