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
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“For man is not the creature and product of Mechanism; but, in a far truer sense, its creator and producer.”
—Thomas Carlyle (1795–1881)