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Estimation of canonical products

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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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Literature cited

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    W. K. Hayman, Meromorphic Functions, Oxford Univ. Press (1964).

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    M. L. Cartwright, Integral Functions, Cambridge Univ. Press (1956).

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    J. H. E. Cohn, “Two primary factor inequalities,” Pacific J. Math.,44, No. 1, 81–92 (1973).

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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).

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  • Lower Bound
  • Canonical Product