Abstract
An estimate exact in a certain sense is obtained for the value of the exceptional set in the Borel relation for entire functions
References
E. Borel, Lesons sur les Fonctions Entieres, Gauthier-Vilars, Paris (1921).
A. Wiman, “Über dem Zusammenhang zwischen dem Maximalbetrage einer analytischen Function und dem grössten Gliede der zugehörigen Taylorischen Reihe,” Acta Math., 37, 305–326 (1914).
G. Valiron, Lectures on the General Theory of Integral Function, Toulouse (1923).
R. R. London. “Note on the lemma of Rosenbloom,” Quart. J. Math., 21, No 81, 67–69 (1970).
P. Rosenbloom, “Probability and entire functions.” in: Stud. Math. Anal. Related Topics, Calif. Univ. Press, Stanford (1962), pp. 325–332.
O. B. Skaskiv, “On availability of exceptional values in relation of the Borel type for the entire Dirichlet series,” Visn. Lvov Univ., Ser. Mekh. Mat., Issue 30, 53–54 (1988).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 11, pp. 1578–1580, November, 1998.
Rights and permissions
About this article
Cite this article
Filevich, P.V. On the London theorem concerning the Borel relation for entire functions. Ukr Math J 50, 1801–1804 (1998). https://doi.org/10.1007/BF02524490
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02524490