Literature Cited
A. A. Gol'dberg and I. V. Ostrovskii, Distribution of Values of Meromorphic Functions [in Russian], Nauka, Moscow (1970).
A. Hyllengren, “Valiron deficient values for meromorphic functions in the plane,” Acta Math.,124, 1–8 (1970).
A. A. Gol'dberg, A. E. Eremenko and I. V. Ostrovskii, “On the sum of entire functions of completely regular growth,” Izv. Akad. Nauk ArmSSR,18, No. 1, 3–14 (1983).
G. A. Barsegyan, “On the distribution of sums ofa-points of meromorphic functions,” Dokl. Akad. Nauk SSSR,232, No. 4, 741–744 (1977).
G. A. Barsegyan, “The proximity property ofa-points of meromorphic functions,” Mat. Sb.,120, No. 1, 42–67 (1983).
V. S. Azarin, “On the asymptotic behavior of subharmonic functions of finite order,” Mat. Sb.,108, No. 2, 217–238 (1979).
J. M. Anderson and A. Baernstein, “The size of the set on which a meromorphic function is large,” Proc. London Math Soc.,36, No. 3, 518–539 (1978).
L. Hörmander, The Analysis of Linear Partial Differential Operators, Vol. 2: Differential Operators with Constant Coefficients, Springer, Berlin (1983).
J. Miles, “Quotient representation of meromorphic functions,” J. Anal. Math.,25, 371–388 (1972).
B. Ja. Levin, Distribution of Zeros of Entire Functions, rev. ed., Am. Math. Soc. (Translations of Math. Monographs), Providence, R. I. (1980).
G. Valiron, Directions de Borel des fonctions méromorphes, Gauthier-Villars, Paris (1938).
G. A. Barsegyan, “Proximity properties ofa-points of meromorphic functions and the structure of single-sheeted domains of Riemann surfaces. I, II,” Izv. Akad. Nauk ArmSSR,20, 375–400, 407–425 (1985).
C.-T. Chuang and Lo Yang, “Distribution of values of meromorphic functions,” Contemp. Math.,48, 21–63 (1985).
W. K. Hayman, “Lectures on value distribution,” in: Sem. de Math. Super., Les presses de l'Université de Montréal (1982), pp. 79–147.
A. A. Gol'dberg, “Distribution of values of meromorphic functions with poles attracted to a system of rays,” Ukr. Mat. Zh.,41, No. 6, 738–743 (1989).
S. Bank and R. Kaufman, “On the gamma function and the Nevanlinna characteristic,” Analysis,6, 115–133 (1986).
D. Drasin and D. Shea, “Polya peaks and the oscillation of positive functions,” Proc. Am. Math. Soc.,34, No. 2, 403–411 (1972).
W. K. Hayman, “On the characteristic of functions meromorphic in the plane and of their integrals,” Proc. London Math. Soc. (3),14a, No. 1, 93–128 (1965).
Additional information
Khar'kov. Translated from Sibirskii Mathematicheskii Zhurnal, Vol. 31, No. 2, pp. 169–179, March–April, 1990.
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Sodin, M.L. Angular distribution of values of meromorphic functions of finite order. Sib Math J 31, 327–335 (1990). https://doi.org/10.1007/BF00970663
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DOI: https://doi.org/10.1007/BF00970663