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References
W.Ford, Studies on divergent series and summability and the asymptotic developments of functions defined by MacLaurin series. New York 1960.
D. F. Lawden, The function\(\sum\limits_1^\infty {n^r } z^n \) and associated polynomials. Proc. Cambridge Philos. Soc.47, 309–314 (1951).
E. Lerch, Note sur la fonction\(K(w, x, s) = \sum\limits_{k = 0}^\infty {\frac{{e^{2\pi ikx} }}{{(w + k)^s }}} \). Acta Math.11, 19–24 (1887).
N. I.Mushelischwili, Singuläre Integralgleichungen. Berlin 1965.
A. Peyerimhoff, On the zeros of power series. Michigan Math. J.13, 193–214 (1966).
G. Polya, Geometrisches über die Verteilung der Nullstellen gewisser ganzer Funktionen. S.-Ber. Bayer. Akad. Wiss.1920, 285–290 (1920).
G.Polya und G.Szegö, Aufgaben und Lehrsätze aus der Analysis I, II. Berlin-Heidelberg-New York 1970.
C. Truesdell, On a function which occurs in the theory of the structure of polymers. Ann. of Math. (2)46, 144–157 (1945).
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Gawronski, W., Peyerimhoff, A. On the zeros of power series with rational coefficients. Arch. Math 29, 173–186 (1977). https://doi.org/10.1007/BF01220392
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DOI: https://doi.org/10.1007/BF01220392