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

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Computational Methods and Function Theory

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

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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.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  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).

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  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.

    Article  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.

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

    Article  MathSciNet  MATH  Google Scholar 

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

    MATH  Google Scholar 

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Stephan Ruscheweyh Edward B. Saff Luis C. Salinas Richard S. Varga

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© 1990 Springer-Verlag

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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

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

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  • Print ISBN: 978-3-540-52768-8

  • Online ISBN: 978-3-540-47139-4

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