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Definition 43

[0FH]Give two sequences \((a_{n})_ n\) and \((b_{n})_ n\) to real or complex values, their Cauchy product is the sequence \((c_{n})_ n\) given by

\[ c_{n}{\stackrel{.}{=}}βˆ‘ _{k=0}^{n}a_{k}b_{n-k}\quad . \]

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  • Cauchy, product
  • complex numbers
  • convergence, of a series
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