Skip to main content

A note on partial derivatives of continued fractions

Part of the Lecture Notes in Mathematics book series (LNM,volume 1199)

Keywords

  • Partial Derivative
  • Hypergeometric Function
  • Continue Fraction
  • Convergence Theory
  • Addition Formula

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • 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. Atkinson, F.V., A value-region problem occuring in the theory of continued fractions, MRC Technical Summary Report # 4/9, December 1963 Madison, Wisconsin.

    Google Scholar 

  2. Jacobsen, L. and Waadeland, H., Some useful formulas involving tails of continued fractions, Proceedings of a Seminar-Workshop, Loen, Norway, 1981, Lecture Notes in Mathematics, Vol. 932, Springer-Verlag, Berlin, Heidelberg, New York 1982, pp. 99–105.

    MATH  Google Scholar 

  3. Jones, W.B. and Thron, W.J., Continued Fractions: Analytic Theory and Applications, Encyclopedia of Mathematics and its Applications, Vol. 11, Addison-Wesley, Reading, Mass., 1980.

    Google Scholar 

  4. Waadeland, H., Tales about Tails, Proceedings of the American Mathematical Society, Vol. 90, Number 1, January 1984.

    Google Scholar 

  5. Waadeland, H., Local properties of continued fractions, Proceedings of the International Conference on Rational Approximation and its Applications in Mathematics and Physics, Łańcŭt, Polen 1985, Lecture Notes in Mathematics, Springer-Verlag. To appear.

    Google Scholar 

  6. Waadeland, H., Derivatives of continued fractions with applications to hypergeometric functions, Proceedings of the Congress on Extrapolation and Padé Approximation, Luminy, France 1985. Journal of Comp. and Appl. Math. To appear.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

Waadeland, H. (1986). A note on partial derivatives of continued fractions. In: Thron, W.J. (eds) Analytic Theory of Continued Fractions II. Lecture Notes in Mathematics, vol 1199. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075944

Download citation

  • DOI: https://doi.org/10.1007/BFb0075944

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16768-6

  • Online ISBN: 978-3-540-38817-3

  • eBook Packages: Springer Book Archive