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Excerpt from Sur la Somme D'Une Fonction L' tude d'une quation lin aire aux diff rences finies comporte deux probl mes de genres diff rents. On peut rechercher tout d'abord s'il existe des solutions poss dant certaines propri t s analytiques simples, par exemple, qui soient analytiques ou enti res. Mais de telles conditions laissent subsister une grande ambigu t dans le Choix des fonctions p riodiques arbitraires dont d pend la solution gene rale, et, d'une mani re plus pr cise, on peut chercher des solutions poss dant en outre certaines propri t s asymptotiques, qui soient aussi simples que possible, et caract ristiques. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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