Asymptotic Expansions

Authors:
  • LMLeo Moser
    Leo Moser
  • MWMax Wyman
    Max Wyman

Abstract
1. Introduction. Let a1 a2, …, am be a set of real non-negative numbers and let1.1 P(x) = a1x + a2x2 + … + amxm (am ≠ 0).Many combinatorial problems can be reduced to the study of numbers Bn generated by 1.2 .Some problems of this type were treated by Touchard (7), Jacobsthal (3), Chowla, Herstein, Moore and Scott (1; 2), and the present authors (4).

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