Skip to main content

Asymptotics for the zeros of the partial sums of ez. II

Part of the Lecture Notes in Mathematics book series (LNM,volume 1435)

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. N. Anderson, E.B. Saff, and R.S. Varga, On the Eneström-Kakeya Theorem and its sharpness, Linear Algebra Appl. 28 (1979), 5–16.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. J.D. Buckholtz, A characterization of the exponential series, Amer. Math. Monthly 73, Part II (1966), 121–123.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. A.J. Carpenter, R.S. Varga, and J. Waldvogel, Asymptotics for the zeros of the partial sums of e z. I., Rocky Mount. J. of Math. (to appear).

    Google Scholar 

  4. H.E. Fettis, J.C. Caslin, and K.R. Cramer, Complex zeros of the error function and of the complementary error function, Math. Comp. 27 (1973), 401–404.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. E.B. Saff and R.S. Varga, On the zeros and poles of Padé approximants to e z, Numer. Math. 25 (1975), 1–14.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. E.B. Saff and R.S. Varga, Zero-free parabolic regions for sequences of polynomials, SIAM J. Math. Anal. 7 (1976), 344–357.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. G. Szegö, Über eine Eigenschaft der Exponentialreihe, Sitzungsber. Berl. Math. Ges. 23 (1924), 50–64.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1990 Springer-Verlag

About this chapter

Cite this chapter

Varga, R.S., Carpenter, A.J. (1990). Asymptotics for the zeros of the partial sums of ez. II. In: Ruscheweyh, S., Saff, E.B., Salinas, L.C., Varga, R.S. (eds) Computational Methods and Function Theory. Lecture Notes in Mathematics, vol 1435. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087909

Download citation

  • DOI: https://doi.org/10.1007/BFb0087909

  • Received:

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52768-8

  • Online ISBN: 978-3-540-47139-4

  • eBook Packages: Springer Book Archive