Skip to main content
SpringerLink
Log in

Functions of a Complex Variable

  • Chapter
Methods of Applied Mathematics with a MATLAB Overview

Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

  • 1553 Accesses

Abstract

In earlier chapters, complex-valued functions appeared in connection with Fourier series expansions. In this context, while the function assumes complex values, the argument of the function is real-valued. There is a highly developed theory of (complex-valued) functions of a complex-valued argument. This theory contains some remarkably powerful results which are applicable to a variety of problems.

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

Access this chapter

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. L. V. Alfohrs, Complex Analysis. McGraw-Hill, New York, New York, 2nd edition, 1966.

    Google Scholar 

  2. R. V. Churchill, Complex Variables and Applications. McGraw Hill, New York, New York, 2nd edition, 1960.

    MATH  Google Scholar 

  3. E. T. Copson, Theory of Functions of a Complex Variable. Oxford University Press, Oxford, England, 1962.

    Google Scholar 

  4. E. T. Whittaker and C. N. Watson, A Course of Modern Analysis. Cambridge University Press, Cambridge, England, 4th edition, 1927.

    MATH  Google Scholar 

  5. W. Fulks, Advanced Calculus. John Wiley and Sons, New York, New York, 1962.

    Google Scholar 

  6. J. F. Marsden, Basic Complex Analysis. W. H. Freeman and Company, San Francisco, California, 1975.

    Google Scholar 

  7. W. Miller, Lie Theory and Special Functions. Academic Press, New York, New York, 1968.

    MATH  Google Scholar 

  8. L. M. Milne-Thompson, Theoretical Hydrodynamics. MacMillan, London, England, 4th edition, 1962.

    Google Scholar 

  9. Z. Nehari, Introduction to Complex Analysis. Allyn and Bacon, Boston, Massachusetts, 1961.

    MATH  Google Scholar 

  10. E. C. Titchmarsh, Eigenfunction Expansions Associated With Second Order Differential Equations. Oxford University Press, London, England, 1946.

    MATH  Google Scholar 

  11. C. N. Watson, A Treatise on the Theory of Bessel Functions. Cambridge University Press, Cambridge, England, 2nd edition, 1944.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Deparment of Mathematics and Statistics, Queen’s University, K7L 3N6, Canada

    Jon H. Davis

Authors
  1. Jon H. Davis
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer Science+Business Media New York

About this chapter

Cite this chapter

Davis, J.H. (2004). Functions of a Complex Variable. In: Methods of Applied Mathematics with a MATLAB Overview. Applied and Numerical Harmonic Analysis. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8198-2_5

Download citation

  • DOI: https://doi.org/10.1007/978-0-8176-8198-2_5

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6486-6

  • Online ISBN: 978-0-8176-8198-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation