Integral representations combining ladders and crossed-ladders

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Given to positive numbers a and b, we show how we easily can construct the power mean Pk(a, b) of order k for the cases k = −2, −1, −1/2, 0, 1/2, 1 and 2. This is done by observing that the power means correspond to certain distances in the crossed ladders problem. The so-called crossed ladders problem, of unknown origin, has been discussed in the literature at least since 1895 (see [3, p. 62-6...

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ژورنال

عنوان ژورنال: Journal of High Energy Physics

سال: 2014

ISSN: 1029-8479

DOI: 10.1007/jhep07(2014)066