Abstract
A representation formula in terms of Lucas polynomials of the second kind in several variables (see formula (4.3)), for the sum rulesJ (i)s introduced by K.M. Case [1] and studied by J.S. Dehesa et al. [2]–[3] in order to obtain informations about the zeros’ distribution of eigenfunctions of a class of ordinary polynomial differential operator, is derived.
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Lavoro eseguito nell’ambito del G.N.I.M. del C.N.R.
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Ricci, P.E. A representation formula of sum rules for zeros of polynomials. Rend. Circ. Mat. Palermo 41, 185–196 (1992). https://doi.org/10.1007/BF02844663
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DOI: https://doi.org/10.1007/BF02844663