Cauchy product

In mathematics, the Cauchy product of two sequences of real or complex numbers, named in honor of Augustin Louis Cauchy, is a discrete convolution given as follows. The Cauchy product of (a_n)_{n=0}^infty and (b_n)_{n=0}^infty is defined by

Related Topics:
Mathematics - Sequences - Real - Complex - Augustin Louis Cauchy - Convolution

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:c_n=sum_{k=0}^n a_k b_{n-k}

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for each n = 0, 1, 2, ...

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