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:
“Labor is work that leaves no trace behind it when it is finished, or if it does, as in the case of the tilled field, this product of human activity requires still more labor, incessant, tireless labor, to maintain its identity as a “work” of man.”
—Mary McCarthy (1912–1989)