References
R. P. Boas, Jr.,Entire Functions, Academic Press, New York, 1954.
—, Density theorems for power series and complete sets,Trans. Amer. Math. Soc.,61 (1947) 54–68.
F. Carlson, Sur une … Taylor, Dissertation, Uppsala, 1914.
W. H. J. Fuchs, A generalization of Carlson’s theorem,J. London Math. Soc.,21 (1946) 106–110.
B. Ya. Levin, On a special class of entire functions and on related extremal properties of entire functions of finite degree,Izvestiya Akad. Nauk SSSR, Ser. Mat.,14 (1950) 45–84. (Russian).
A. Pfluger, Über gewisse ganze Funktionen vom Exponentialtypus,Comment. Math. Helv.,16 (1944) 1–18.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Rahman, Q.I. Carlson’s theorem for functions of exponential type. J. Anal. Math. 22, 201–219 (1969). https://doi.org/10.1007/BF02786790
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02786790