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 UN is not just a product of do-gooders. It is harshly real. The day will come when men will see the UN and what it means clearly. Everything will be all rightyou know when? When people, just people, stop thinking of the United Nations as a weird Picasso abstraction, and see it as a drawing they made themselves.”
—Dag Hammarskjöld (19051961)