Skip to main content
SpringerLink
Log in
Book cover

Analytic Theory of Differential Equations pp 145–157Cite as

Stokes multipliers for the equation {ie145-1}

  • Part II
  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 183))

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. W.J. Trjitzinsky, Analytic theory of linear differential equations, Acta Math. 62 (1934), 167–227.

    Article  MathSciNet  MATH  Google Scholar 

  2. B.L.J. Braaksma, Asymptotic analysis of a differential equation of Turrittin, SIAM J. Math. Anal. (to appear).

    Google Scholar 

  3. H.L. Turrittin, Stokes multipliers for asymptotic solutions of a certain differential equation, Trans. Amer. Math. Soc. 68 (1950), 304–329.

    Article  MathSciNet  MATH  Google Scholar 

  4. J.B. McLeod, On the distribution of eigenvalues of an n-th order equation, Quart. J. Math. Oxford (2) 17 (1966), 112–131.

    Article  MathSciNet  MATH  Google Scholar 

  5. J. Heading, The Stokes phenomenon and certain n-th order differential equations I, II, Proc. Cambridge Philos. Soc. 53 (1957), 399–441.

    Article  MathSciNet  MATH  Google Scholar 

  6. H.L. Turrittin, Stokes multipliers for the differential equation {ie157-1}, Funkcial. Ekvac. 9 (1966), 261–272.

    MathSciNet  MATH  Google Scholar 

  7. H.L. Turrittin, Asymptotic distribution of zeros for certain exponential sums, Amer. J. Math. 66 (1944), 199–228.

    Article  MathSciNet  MATH  Google Scholar 

  8. B.L.J. Braaksma, Asymptotic expansions and analytic continuations for a class of Barnes-integrals, Compositio Math. 15 (1964), 239–341.

    MathSciNet  MATH  Google Scholar 

  9. E.W. Barnes, The asymptotic expansion of integral functions defined by generalized hypergeometric series, Proc. London Math. Soc. (2) 5 (1907), 59–116.

    Article  MATH  Google Scholar 

  10. H. Scheffé, Linear differential equations with two-term recurrence formulas, J. Math. & Phys. 21 (1942), 240–249.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Minnesota, USA

    H. L. Turrittin

Authors
  1. H. L. Turrittin
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

P. F. Hsieh A. W. J. Stoddart

Rights and permissions

Reprints and permissions

Copyright information

© 1971 Springer-Verlag

About this paper

Cite this paper

Turrittin, H.L. (1971). Stokes multipliers for the equation {ie145-1}. In: Hsieh, P.F., Stoddart, A.W.J. (eds) Analytic Theory of Differential Equations. Lecture Notes in Mathematics, vol 183. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060414

Download citation

  • DOI: https://doi.org/10.1007/BFb0060414

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05369-9

  • Online ISBN: 978-3-540-36454-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation