In this paper a connective study of Gould’s annihilation coefficients and Abel-Gontscharoff polynomials is presented. It is shown that Gould’s annihilation coefficients and Abel-Gontscharoff polynomials are actually equivalent to each other under certain linear substitutions for the variables. Moreover, a pair of related expansion formulas involving Gontscharoff’s remainder and a new form of it are demonstrated, and also illustrated with several examples.
Applied Mathematics | Mathematics
He, Tian-Xiao; Hsu, Leetsch; and Shiue, Peter, "On Abel-Gontscharoff-Gould's polynomials" (2003). Scholarship. 17.