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.
- Annihilation coefficients,
- Gould’s identity,
- Abel-Gontscharoff polynomial,
- ring of formal power series,
- Abel-Gontscharoff interpolation series.
Available at: http://works.bepress.com/tian_xiao_he/12/