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Cauchy Product

  • Definition: Given two series sum(a_n) and sum(b_n) define c_n = sum_(k=0 to n)[(a_k)(b_(n-k))] for all n. The series sum(c_n) is called the Cauchy product of sum(a_n) and sum(b_n).

    Source: Mathematical Analysis, second edition by Tom M. Apostol

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