On Abel-Gontscharoff-Gould's polynomials

Tian-Xiao He, Leetsch C. Hsu, Peter J.-S. Shiue

Research output: Journal ArticleArticlepeer-review

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 languageAmerican English
JournalAnalysis in Theory and Applications
Volume19
StatePublished - 2003

Keywords

  • Annihilation coefficients
  • Gould’s identity
  • Abel-Gontscharoff polynomial
  • ring of formal power series
  • Abel-Gontscharoff interpolation series.

Disciplines

  • Applied Mathematics
  • Mathematics

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