This is a preview of subscription content, log in via an institution to check access.
Literature cited
A. A. Gol'dberg and I. V. Ostrovskii, The Distribution of Values of Meromorphic Functions [in Russian], Nauka, Moscow (1970).
Sh. I. Strelits, Asymptotic Properties of Analytic Solutions of Differential Equations [in Russian], Mintis, Vilnius (1972).
A. A. Gol'dberg, “Nevanlinna's lemma on the logarithmic derivative of a meromorphic function,” Mat. Zametki,17, No. 4, 525–529 (9175).
A. A. Gol'dberg and A. Z. Mokhon'ko, “On the rate of growth of solutions of an algebraic differential equation in angular regions,” Differents. Uravn.,11, No. 9, 1568–1574 (1975).
S. Bank, “A note on the rate of growth of algebraic differential equations in sectors,” J. London Math. Soc.,1, 145–154 (1969).
A. Z. Mokhon'ko, “Estimates of the Nevanlinna characteristics of algebraic functions and their applications to differential equations,” Sib. Mat. Zh.,23, No. 1, 103–113 (1982).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 6, pp. 839–843, June, 1989.
Rights and permissions
About this article
Cite this article
Mokhon'ko, A.Z. An estimate of the modulus of the logarithmic derivative of a function which is meromorphic in an angular region, and its application. Ukr Math J 41, 722–725 (1989). https://doi.org/10.1007/BF01060580
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01060580