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Asymptotic Expansions II

Published online by Cambridge University Press:  20 November 2018

Leo Moser  and
Max Wyman
Leo Moser
Affiliation:
University of Alberta
Max Wyman
Affiliation:
University of Alberta
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In a previous paper (1) the authors considered the problem of finding an asymptotic formula for numbers or functions Bn,m whose generating function is of the form

(1.1),

where Pm(x) is a polynomial of degree m in x given by

(1.2), am≠0.

The above-mentioned paper contained the restriction that ak ≥ 0.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 9 , 1957 , pp. 194 - 209
Copyright
Copyright © Canadian Mathematical Society 1957

References

1. Moser, L. and Wyman, M., Asymptotic expansions, Can. J. Math., 8 (1956), 225–233.Google Scholar
2. Moser, L. and Wyman, M., An asymptotic formula for the Bell Numbers, Trans. Roy. Soc. Can., Series III, 49 (1955), Sec. III , 49–54.Google Scholar
3. Szegô, G., Orthogonal Polynomials, Amer. Math. Soc. Coll. Publ. 28 (New York, 1939).Google Scholar