Abstract
In the preceding chapter the concept of “doubly asymptotic expansions” was introduced through an important special case. Whenever in the applications of the asymptotic theory one has to characterize functions of x and ∈ by their behavior near x = ∞ in some unbounded region of the x-plane, the knowledge of doubly asymptotic expansions is extremely helpful. Unfortunately, all known results of some generality in this direction require that the coefficients of the differential equation to be solved be polynomials in x. The matter has been explored in a number of papers by Leung, listed in the bibliography. The presentation here is based on Leung’s work.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1985 Springer Science+Business Media New York
About this chapter
Cite this chapter
Wasow, W. (1985). Doubly Asymptotic Expansions. In: Linear Turning Point Theory. Applied Mathematical Sciences, vol 54. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1090-0_10
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1090-0_10
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7008-9
Online ISBN: 978-1-4612-1090-0
eBook Packages: Springer Book Archive