Skip to main content
padlock icon - secure page this page is secure

Solutions of the Differential Equation u‴+λ2zu+(α−1)λ2u=0

Buy Article:

$59.00 + tax (Refund Policy)

This paper deals with the solutions of the differential equation u‴+λ2 zu+(α−1)λ2 u=0, in which λ is a complex parameter of large absolute value and α is an arbitrary constant, real or complex. After a discussion of the structure of the solutions of the differential equation, an integral representation of the solution is given, from which the series solutions and their asymptotic representations are derived. A third independent solution is needed for the special case when α−1 is a positive integer, and two derivations for this are given. Finally, a comparison is made with the results obtained by R. E. Langer.
No References
No Citations
No Supplementary Data
No Article Media
No Metrics

Document Type: Research Article

Affiliations: Queens College, CUNY

Publication date: December 1, 1976

  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content
Cookie Policy
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more