Aq-Analogue of Faà di Bruno's Formula

Aq-Analogue of Faà di Bruno's Formula
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DOI:
10.1006/jcta.1996.0107
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发表时间:
1996-11
期刊:
J. Comb. Theory A
影响因子:
--
通讯作者:
Warren P. Johnson
Warren P. Johnson
中科院分区:
其他
文献类型:
--
作者:
Warren P. Johnson

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Some years ago Gessel (Ge]) introduced aq-analogue of functional composition that was strong enough to support aq-analogue of the chain rule. In this note we show that Gessel'sq-composition is even strong enough to support a-analogue of Faa di Bruno's formula for thenth derivative of a composite function.q-analogues of the Bell polynomials arise naturally in this context.