On the Growth of the Maximum of the Modulus of an Entire Function on a Sequence |
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Authors: | Filevych P V |
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Institution: | (1) Lviv University, Lviv |
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Abstract: | Let M
f(r) and f(r) be, respectively, the maximum of the modulus and the maximum term of an entire function f and let be a continuously differentiable function convex on (– , + ) and such that x = o( (x)) as x + . We establish that, in order that the equality
be true for any entire function f, it is necessary and sufficient that ln ![PHgr](/content/x8786x7010544618/xxlarge934.gif) (x) = o( (x)) as x + . |
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Keywords: | |
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