Skip to main content

Applications of continued fractions in function theory

  • II Section — Function Theory Of One Complex Variable
  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1013))

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

Buying options

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. Abramowitz, M., and Stegun, I. A. Handbook of Mathematical Functions, National Bureau of Standards, Applied Mathematical Series No. 55, Washington, D.C., 1972.

    Google Scholar 

  2. Buckens, F. Tables of Bessel Functions of Imaginary Order, Universite Catholique de Louvain, Louvain-la-Neuve, Belgium, 1973.

    Google Scholar 

  3. Frank, E. Continued Fraction Expansions for the Ratios of Hypergeometric Functions, Colloquium on Mathematical Analysis, Jyväskylä, 1970. Lecture Notes in Mathematics no. 419, Springer-Verlag, Berlin, 1974, 110–119.

    Google Scholar 

  4. _____. New Error Formulas for Continued Fractions, ZAMM (Gesellschaft für angewandte Mathematik und Mechanik) 61, 282–284.

    Google Scholar 

  5. Lentz, W. J. A New Method of Computing Spherical Bessel Functions of Complex Argument with Tables, U.S.Army Electronics Command, Ft. Monmouth, N.J., 1973.

    Google Scholar 

  6. Perron, O. Die Lehre von den Kettenbrüchen II, ed ed., Teubner, Stuttgart, 1957.

    MATH  Google Scholar 

  7. Watson, G. N. A Treatise on the Theory of Bessel Functions, Cambridge, University Press, 1966.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Cabiria Andreian Cazacu Nicu Boboc Martin Jurchescu Ion Suciu

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag

About this paper

Cite this paper

Frank, E. (1983). Applications of continued fractions in function theory. In: Cazacu, C.A., Boboc, N., Jurchescu, M., Suciu, I. (eds) Complex Analysis — Fifth Romanian-Finnish Seminar. Lecture Notes in Mathematics, vol 1013. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066533

Download citation

  • DOI: https://doi.org/10.1007/BFb0066533

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12682-9

  • Online ISBN: 978-3-540-38671-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics