## Rocky Mountain Journal of Mathematics

### A discrete view of Faà di Bruno

#### 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

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

#### 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

#### References

• C.E. Cook and M. Bernfeld, Radar signals: An introduction to theory and application, Artech House, Norwood, MA, 1993.
• V.A. Dobrushkin, Methods in algorithmic analysis, CRC Press, Boca Raton, 2010.
• H. Flanders, From Ford to Faà, Amer. Math. Month. 108 (2001), 559–561.
• J. Goodman, Introduction to Fourier optics, Roberts and Company Publishers, Greenwood Village, CO, 2005.
• J.P. Johnson, The curious history of Faà di Bruno's formula, Amer. Math. Month. 109 (2002), 217–234.
• J. Riordan, An introduction to combinatorial analysis, Wiley, New York, 1958.
• P.K. Suetin, Solution of discrete convolution equations in connection with some problems in radio engineering, Uspek. Mat. Nauk. 44 (1989), 97–116 (in Russian); Russian Math. Surv. 44 (1989), 119–143 (in English).