Document Zbl 0502.30005

Einschluesse und Trennung der Nullstellen von Exponentialtrinomen mit konstanten Koeffizienten. (German) Zbl 0502.30005

Z. Angew. Math. Mech. 62, 547-560 (1982).

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MSC:

30C15	Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)
39A10	Additive difference equations

Keywords:

characteristic functions; exponential polynomials; trinomials; difference equations

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References:

[1]	Sur les équations algébriques contenant des paramètres arbitraires, Bull. Acad. Polonaise, Cl. Sci. Math., série A, 541–685 (1927).
[2]	La théorie analytique des polynomes d’une variable (à coefficients quelconques), Gauthier-Villars, Paris 1938.
[3]	The Geometry of the Zeros of a Polynomial in a Complex Variable, Amer. Math. Soc. surveys III, New York 1949
[4]	Geometrisches über die Verteilung der Nullstellen gewisser transzendenter Funktionen, S.-Ber. Bayer. Akad. Wiss., München 1920, 285–290.
[5]	Algebraische Gleichungen mit reellen oder komplexen Koeffizienten, Enz. d. math. Wiss. I1, Heft 3, II, B. G. Teubner, Stuttgart 1958.
[6]	The Location of Critical Points of Analytic Functions and Harmonic Functions, Amer. Math. Soc. Coll. Publ. Vol. XXXIV New York 1950. · Zbl 0041.04101
[7]	Melvin, J. Math. Analysis Appl. 48 pp 749– (1974)
[8]	Avellar, J. Math. Analysis Appl. 73 pp 434– (1980)

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