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Developing contour summation

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Developing contour summation
JmsNxn Offline
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09/15/2013, 08:40 PM (This post was last modified: 09/15/2013, 08:41 PM by JmsNxn.)
We can try the result for monomials, and by induction:

\( \sum_0^{a^n}f(z)\Delta z = \sum_0^{a}\sum_0^{a-1} .... \sum_0^{a-1} f(x + (t_1 + t_2 + ...+t_{n-1})a) \Delta t_1 \,\Delta t_2\,...\Delta t_{n-1} \Delta x \)

This leaves us wondering what an addition formula would be--given it could generate substitution of polynomials.
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Messages In This Thread
Developing contour summation - by JmsNxn - 09/15/2013, 07:33 PM
RE: Developing contour summation - by JmsNxn - 09/15/2013, 08:40 PM
RE: Developing contour summation - by tommy1729 - 09/23/2013, 08:50 PM
RE: Developing contour summation - by JmsNxn - 12/13/2013, 11:40 PM

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