In mathematics, the Cauchy product, named after Augustin Louis Cauchy, of two sequences, is the discrete convolution of the two sequences, the sequence whose general term is given by
In other words, it is the sequence whose associated formal power series is the product of the two series similarly associated to and .
Read more about Cauchy Product: Series, Finite Summations, Convergence and Mertens' Theorem, Cesàro's Theorem, Generalizations, Relation To Convolution of Functions
Famous quotes containing the word product:
“Humour is the describing the ludicrous as it is in itself; wit is the exposing it, by comparing or contrasting it with something else. Humour is, as it were, the growth of nature and accident; wit is the product of art and fancy.”
—William Hazlitt (1778–1830)