Rocky Mountain Journal of Mathematics

A discrete view of Faà di Bruno

Raymond A. Beauregard and Vladimir A. Dobrushkin

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Abstract

It is shown how solving a discrete convolution problem gives a unique insight into the famous Faa di Bruno formula for the $n$th derivative of a composite function.

Article information

Source
Rocky Mountain J. Math., Volume 46, Number 1 (2016), 73-83.

Dates
First available in Project Euclid: 23 May 2016

Permanent link to this document
https://projecteuclid.org/euclid.rmjm/1464035852

Digital Object Identifier
doi:10.1216/RMJ-2016-46-1-73

Mathematical Reviews number (MathSciNet)
MR3506078

Zentralblatt MATH identifier
06587820

Subjects
Primary: 11B37: Recurrences {For applications to special functions, see 33-XX} 11B83: Special sequences and polynomials 39A12: Discrete version of topics in analysis

Keywords
Discrete convolution multinomial coefficient

Citation

Beauregard, Raymond A.; Dobrushkin, Vladimir A. A discrete view of Faà di Bruno. Rocky Mountain J. Math. 46 (2016), no. 1, 73--83. doi:10.1216/RMJ-2016-46-1-73. https://projecteuclid.org/euclid.rmjm/1464035852


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References

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