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A convolution involving Bell polynomials

Published online by Cambridge University Press:  24 October 2008

G. P. M. Heselden
G. P. M. Heselden
Affiliation:
Admiralty Research Laboratory, Teddington, Middlesex
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Abstract

A convolution formula is established for Bell polynomials. This is expressed in seven equivalent ways and used to derive further properties of these polynomials. The application of these results to some twenty-seven special polynomial sets is shown and illustrated in the case of binomial, Hermite, Gegenbauer and generalized Bernoulli sets.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 74 , Issue 1 , July 1973 , pp. 97 - 106
Copyright
Copyright © Cambridge Philosophical Society 1973

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References

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