Subresultants of (x-α)^m and (x-β)ⁿ, Jacobi polynomials and complexity

2018/12/31 by Bostan, A., Krick, T., Szanto, A. +1
#13P15 #15B05 #33C05 #33C45 #33F10 #68W30 #Classical Analysis and ODEs (math.CA) #FOS: Computer and information sciences #FOS: Mathematics #Symbolic Computation (cs.SC)

paper · doi:10.48550/arxiv.1812.11789

Abstract

In an earlier article together with Carlos D'Andrea [BDKSV2017], we described explicit expressions for the coefficients of the order-d polynomial subresultant of (x-α)^m and (x-β)ⁿ with respect to Bernstein's set of polynomials \(x-α)^j(x-β)^d-j, 0≤ j≤ d\, for 0≤ d

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