INVERSE CONNECTION FORMULAE FOR GENERALISED BESSEL POLYNOMIALS

We solve the problem of finding the inverse connection formulae for the generalised Bessel polynomials and their reciprocals, the reverse generalised Bessel polynomials. The connection formulae express monomials in terms of the generalised Bessel polynomials. They enable formulae for the elements of...

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Bibliographic Details
Published in:Bulletin of the Australian Mathematical Society 2024-12, Vol.110 (3), p.480-487
Main Author: WOLFRAM, D. A.
Format: Article
Language:English
Subjects:
Algorithms
Hypotheses
Polynomials
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Summary:We solve the problem of finding the inverse connection formulae for the generalised Bessel polynomials and their reciprocals, the reverse generalised Bessel polynomials. The connection formulae express monomials in terms of the generalised Bessel polynomials. They enable formulae for the elements of change of basis matrices for both kinds of generalised Bessel polynomials to be derived and proved correct directly.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972724000285