Literatur
Boas, R.P.: Entire functions. New York: Academic Press 1954.
Frank, G.: Über den Index einer ganzen Funktion. Arch. der Math.22, 175–180 (1971).
Lee, B.S., Shah, S.M.: On the growth of entire functions of bounded index. J. Math. Mech.20, 81–88 (1970).
Lepson, B.: Differential equations of infinite order, hyperdirichlet series and entire functions of bounded index. Lectures notes, 1966, Summer Institute on Entire Functions, Univ. of California, La Jolla.
Pólya, G., Szegö, G.: Aufgaben und Lehrsätze aus der Analysis. Bd. 2, 3. Auflage. Berlin-Heidelberg-New York: Springer 1964.
Pugh, W.J., Shah, S.M.: On the growth of entire functions of bounded index. Pacific J. Math.33, 191–201 (1970).
Shah, S.M.: Entire functions of bounded index. Proc. Amer. Math. Soc.19, 1017–1022 (1968).
—— Entire functions of unbounded index having simple zeros. Math. Z.118, 193–196 (1970).
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Frank, G., Mues, E. Über das Wachstum des Index ganzer Funktionen. Math. Ann. 195, 114–120 (1971). https://doi.org/10.1007/BF01419618
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DOI: https://doi.org/10.1007/BF01419618