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Math Help - Multiplication of Two series.Anyone?

  1. #1
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    Multiplication of Two series.Anyone?

    Can i simplify [ \sum_{n=0}^\infty \frac{(-1)^n}{n!}x^{n+1} ] [ \sum_{n=0}^\infty a_nx^n ] to \sum_{n=0}^\infty b_nx^n where my b_n= \frac{(-1)^0}{0!}{a_n}+\frac{(-1)^1}{1!}{a_{n-1}}+\frac{(-1)^2}{2!}{a_{n-2}}+....... +\frac{(-1)^n}{n!}{a_0} .


    Is that true?
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  2. #2
    MHF Contributor chisigma's Avatar
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    That's almost true... that is 'all right' if You write the product as x \cdot \sum_{n=0}^{\infty} b_{n}\cdot x^{n} ...

    Kind regards

    \chi \sigma
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