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:
“The product of the artist has become less important than the fact of the artist. We wish to absorb this person. We wish to devour someone who has experienced the tragic. In our society this person is much more important than anything he might create.”
—David Mamet (b. 1947)