Abstract
The formal theory of Chapter II essentially dealt with global simplifying transformations of the given differential equation in regions from which all potential turning points were removed. In this chapter domains containing turning points will be considered, and the first question is: How far can the differential equation be simplified by formal transformations with well understood asymptotic properties in such regions. The essence of Langer’s method belongs here. His reduction of certain second-order equations with turning points led him to differential equations so simple as to be solvable by classical special functions ([36], [31], [38], [39] and other papers).
This is a preview of subscription content, log in via an institution to check access.
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
© 1985 Springer Science+Business Media New York
About this chapter
Cite this chapter
Wasow, W. (1985). Uniform Transformations at Turning Points: Formal Theory. In: Linear Turning Point Theory. Applied Mathematical Sciences, vol 54. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1090-0_5
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1090-0_5
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