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On Abel-Gontscharoff-Gould’s polynomials

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Analysis in Theory and Applications

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.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Illinois Wesleyan University, 61702-2900, Bloomington, IL, USA

    He Tianxiao

  2. Department of Mathematics, Dalian University of Technology, 116024, Dalian, P. R. China

    Leetsch C. Hsu

  3. Department of Mathematics, University of Nevada Las Vegas, 89154-4020, Las Vegas, NV, USA

    Peter J. S. Shiue

Authors
  1. He Tianxiao
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  2. Leetsch C. Hsu
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  3. Peter J. S. Shiue
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Tianxiao, H., Hsu, L.C. & Shiue, P.J.S. On Abel-Gontscharoff-Gould’s polynomials. Anal. Theory Appl. 19, 166–184 (2003). https://doi.org/10.1007/BF02835242

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  • DOI: https://doi.org/10.1007/BF02835242

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