Abstract
The standard definition of “asymptotic series”, inventedby Poincareé a century ago, is all about powers of ∈:
“ The resultant series is asymptotic, rather than convergent, because the range of intergration extends beyond the circle of convergence [of a power series of the integrand].” — Robert B. Dingle (1973, pg. 111).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Boyd, J.P. (1998). Hyperasymptotic Perturbation Theory. In: Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics. Mathematics and Its Applications, vol 442. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5825-5_3
Download citation
DOI: https://doi.org/10.1007/978-1-4615-5825-5_3
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7670-5
Online ISBN: 978-1-4615-5825-5
eBook Packages: Springer Book Archive