The concentration index of subharmonic functions of infinite order
Markiyan Hirnyk (Girnyk)
TL;DR
This paper introduces an analogue of the concentration index for subharmonic functions of infinite order, extending its application from finite order cases used in interpolation theory.
Contribution
It develops a new concept of concentration index tailored for subharmonic functions of infinite order, broadening its theoretical framework.
Findings
Defines the concentration index for infinite order functions
Establishes properties analogous to the finite order case
Potential applications in interpolation theory
Abstract
The purpose of this paper is to introduce into consideration an analogue of the concentration index in the class of subharmonic functions of infinite order. The one in the case of finite order is used in the interpolation theory.
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Taxonomy
TopicsHolomorphic and Operator Theory · Nonlinear Differential Equations Analysis · advanced mathematical theories