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arXiv · 1912.00746

Variations on the proximate order

Bulat N. Khabibullin
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Abstract

The concept of proximate order is widely used in the theories of entire, meromorphic, subharmonic and plurisubharmonic functions. We give a general interpretation of this concept as a proximate growth function relative to a model growth function. If a function is the proximate growth function with respect to the identity function on the positive semi-axis, then the logarithm of this function is the classical proximate order. Our definition uses only one condition. This form of definition is also new for the classical proximate order.

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Bulat N. Khabibullin. 2019-11-26. Variations on the proximate order. https://arxiv.org/abs/1912.00746

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