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On the inversion of exponential sums in the neighbourhood of transcendental critical points

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References

  1. R. P.Boas, Entire Functions. New York-London 1954.

  2. M. L.Cartwright, Integral Functions. Cambridge 1956.

  3. D. G. Dickson, Expansions in series of solutions of linear difference-differential and infinite order differential equations with constant coefficients. Mem. Amer. Math. Soc.23, 1–72 (1957).

    Google Scholar 

  4. Gottfried P.Meyer, Konvergente und asymptotische Reihenentwicklungen von Nullstellenfolgen und nicht algebroiden Umkehrelementen von Exponentialsummen. Dissertation, Würzburg 1975.

  5. G.Polya, Geometrisches über die Verteilung der Nullstellen gewisser transzendenter Funktionen. Sitz. Ber. Bayr. Akad. d. Wiss., 285–290 (1920).

  6. Hermann Schmidt, Über die Reihendarstellung implizit gegebener Funktionen von endlich oder unendlich vielen Veränderlichen. Math. Z.40, 266–278 (1936).

    Google Scholar 

  7. Hermann Schmidt, Lösung der Aufgabe 248. Jahresber. DMV49, 7–9 (1939).

    Google Scholar 

  8. E.Schwengeler, Geometrisches über die Verteilung der Nullstellen spezieller ganzer Funktionen (Exponentialsummen). Dissertation, Zürich 1925.

  9. J.Stoer and Ch.Witzgall, Convexity and Optimization in Finite Dimensions I. Berlin-Heidelberg-New York 1970.

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Meyer, G.P. On the inversion of exponential sums in the neighbourhood of transcendental critical points. Arch. Math 46, 62–72 (1986). https://doi.org/10.1007/BF01197142

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  • DOI: https://doi.org/10.1007/BF01197142

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