We determine the Nevanlinna characteristics of the Weierstrass zeta function and show that none of thevalues \( a \in \bar{C} \) is exceptional in Nevanlinna’s sense for this function.
Similar content being viewed by others
References
A. I. Markushevich, Theory of Analytic Functions [in Russian], Vol. 2, Nauka, Moscow (1968).
A. A. Gol’dberg and N. E. Korenkov, “Asymptotic behavior of the logarithmic derivative of an entire function of completely regular growth,” Ukr. Mat. Zh., 30, No. 1, 25–32 (1978); English translation: Ukr. Math. J., 30, No. 1, 17–22 (1978).
A. A. Gol’dberg and N. E. Korenkov, “Asymptotic behavior of the logarithmic derivative of an entire function of completely regular growth,” Sib. Mat. Zh., 21, No. 3, 63–79 (1980).
A. A. Gol’dberg and I. V. Ostrovskii, Distribution of Values of Meromorphic Functions [in Russian], Nauka, Moscow (1968).
Author information
Authors and Affiliations
Additional information
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 5, pp. 718–720, May, 2011.
Rights and permissions
About this article
Cite this article
Korenkov, M.E., Zajac, J. & Kharkevych, Y.I. Nevanlinna characteristics and defective values of the Weierstrass zeta function. Ukr Math J 63, 838–841 (2011). https://doi.org/10.1007/s11253-011-0547-3
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11253-011-0547-3