Abstract
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.
| Original language | American English |
|---|---|
| Journal | Analysis in Theory and Applications |
| Volume | 19 |
| State | Published - 2003 |
Keywords
- Abel-Gontscharoff interpolation series.
- Abel-Gontscharoff polynomial
- Annihilation coefficients
- Gould’s identity
- ring of formal power series
Disciplines
- Applied Mathematics
- Mathematics