References
Hayman, W. K.: Meromorphic functions. Oxford: Clarendon Press 1964.
Ingham, A.E.: Some trigonometrical inequalities with applications to the theory of series. Math. Z.41, 367–379 (1936).
Kövari, T.: On the Borel exceptional values of lacunary integral functions. J. Analyse math.9, 71–109 (1961).
Kövari, T.: On the maximum modulus and maximum term of functions analytic in the unit disc. J. London math. Soc. (2) Ser.17, 129–137 (1966).
Schumitzky, A.: Wiman-Valiron theory for entire functions of several complex variables. Ph.D. Dissertation: Cornell University 1965.
Sons, L.R.: An analogue of a theorem of W. H. J. Fuchs on gap series. Proc. London math. Soc. (3) Ser.21, 525–539 (1970).
Sons, L.R.: Regularity of growth and gaps. J. math. Analysis Appl.24, 296–306 (1968).
Sons, L.R.: Value distribution and power series with moderate gaps. Michigan math. J.13, 425–433 (1966).
Sunyer Balaguer, F.: Sur la substitution d'une valeur exceptionnelle par une propriété lacunaire. Acta math.87, 17–31 (1952).
Turán, P.: Über lakunäire Potenzreihen. Revue Roumaine Math. pure appl.1, 27–32 (1956).
Wiman, A.: Über den Zusammenhang zwischen dem Maximalbetrage einer analytischen Funktion und dem größten Betrage bei gegebenem Argumente der Funktion. Acta math.41, 1–28 (1916).
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Sons, L.R. Gap series with rapid growth in the unit disc. Math Z 131, 25–48 (1973). https://doi.org/10.1007/BF01213824
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DOI: https://doi.org/10.1007/BF01213824