Upper and lower bounds are obtained for the absolute value of a canonical product that take into account the dependence of the product on the argument of the independent variable, as well as the arguments of the zeros.
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W. K. Hayman, Meromorphic Functions, Oxford Univ. Press (1964).
M. L. Cartwright, Integral Functions, Cambridge Univ. Press (1956).
J. H. E. Cohn, “Two primary factor inequalities,” Pacific J. Math.,44, No. 1, 81–92 (1973).
Translated from Matematicheskie Zametki, Vol. 20, No. 1, pp. 79–90, July, 1976.
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Verbitskii, B.V. Estimation of canonical products. Mathematical Notes of the Academy of Sciences of the USSR 20, 599–606 (1976). https://doi.org/10.1007/BF01152765
- Lower Bound
- Canonical Product