Literature cited
J. F. Ritt, “On the certain points in the theory of Dirichlet series,” Amer. J. Math.,50, 73 (1928).
A. R. Reddy, “On entire Dirichlet series of infinite order I,” Rev. Math. Hisp.-Amer.,27, 120–131 (1967).
A. R. Reddy, “On entire Dirichlet series of infinite order II,” Rev. Math. Hisp.-Amer.,29, 215–231 (1969).
C. T. Rajagopal and A. R. Reddy, “A note on entire functions represented by Dirichlet series,” Ann. Pollon. Math.,17, 199–208 (1965).
S. N. Srivastova, “A note on the derivatives of integral functions represented by Dirichlet series,” Rev. Math. Hisp.-Amer.,22, 246–259 (1962).
B. V. Vinnitskii and M. M. Sheremeta, “Asymptotic behavior of the coefficients of Dirichlet series representing entire functions,” Ukr. Mat. Zh.,27, No. 2 (1975).
K. Sugimura, “Übertragung einiger Satze aus Theorie der ganzen Funktionen auf Dirichletsche Reihen,” Math. Z.,29, 264–277 (1929).
Yu Chia-Yung, “Sur les droites de Borel de certaines fonctions entieres,” Ann. Ecole Norm. Sup.,68, 65–104 (1951).
Q. I. Rahman, “The Ritt-order of the derivative of entire functions,” Ann. Pollon. Math.,17, 137–140 (1965).
A. R. Reddy, “On entire Dirichlet series of zero order,” Tohoku Math. J.,16, 144–155 (1966).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol, 27, No. 4, pp. 443–451, July–August, 1975.
I am very grateful to M. N. Sheremeta for constant interest and A. A. Gol'dberg for comments.
Rights and permissions
About this article
Cite this article
Vinnitskii, B.V. On derivatives of entire functions. Ukr Math J 27, 357–363 (1975). https://doi.org/10.1007/BF01085580
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01085580