High Quality Content by WIKIPEDIA articles! It is useful to figure out which summation methods produce the geometric series formula for which common ratios. One application for this information is the so-called Borel-Okada principle: If a regular summation method sums ?zn to 1/(1 - z) for all z in a subset S of the complex plane, given certain restrictions on S, then the method also gives the analytic continuation of any other function f(z) = ?anzn on the intersection of S with the Mittag-Leffler star for f.

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