A recursion formula for the coefficients in an asymptotic expansion
- 1 December 1958
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Glasgow Mathematical Association
- Vol. 4 (1) , 38-41
- https://doi.org/10.1017/s2040618500033839
Abstract
Many authors have proved results deducing an asymptotic expansion of for large from the behaviour of f(t), when f(t) is regular in an appropriate part of the complex t-plane. For example, if, for some k > 0 and some Am, αm for all large such that R(t) > C, then, as ⃗ ∞ in a suitable sector in the z-plane, we have where Z is an appropriate value of z1/z.Keywords
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