广义贝塞尔多项式的反连接公式

Pub Date : 2024-04-25 DOI:10.1017/s0004972724000285

D. A. Wolfram

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引用次数: 0

摘要

我们解决了广义贝塞尔多项式及其倒数，即反向广义贝塞尔多项式的逆连接公式问题。连接公式用广义贝塞尔多项式表达单项式。它们使得两种广义贝塞尔多项式的基矩阵变化元素的公式可以直接导出并证明其正确性。

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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 change of basis matrices for both kinds of generalised Bessel polynomials to be derived and proved correct directly.

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