On the magnitudes of deviations and spreads of meromorphic functions of finite lower order
Sbornik. Mathematics, Tome 186 (1995) no. 3, pp. 391-408

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We investigate the influence that the number of maximum modulus points of a meromorphic function on the circle $|z|=r$ has on the magnitudes of growth and value distribution. Sharp estimates are obtained for the corresponding magnitudes.
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     author = {I. I. Marchenko},
     title = {On the magnitudes of deviations and spreads of meromorphic functions of finite lower order},
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I. I. Marchenko. On the magnitudes of deviations and spreads of meromorphic functions of finite lower order. Sbornik. Mathematics, Tome 186 (1995) no. 3, pp. 391-408. http://geodesic.mathdoc.fr/item/SM_1995_186_3_a5/