On a class of slowly changing functions
type: Item
instance of: scholarly article
title: On a class of slowly changing functions
zbMATH Open document ID: 0675.26004
DOI: 10.1007/BF02880967
author: Anand P. Singh
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 1988-01-01T00:00:00Z
review text: The paper is devoted to the asymptotic properties of differentiable functions \(J(r)\geq 0,\quad r\geq 0,\) which satisfy the condition \((r \log r)J'(r)/J(r)\to 0,\quad r\to \infty.\) The change of variable \(r=\log t\) maps the class under consideration onto the class of differentiable functions which are slowly changing in the sense of Karamata. Some applications to the study of growth and distribution of zeros of entire functions are given.
Mathematics Subject Classification ID: 26A12
Mathematics Subject Classification ID: 30D20
zbMATH DE Number: 4105267
zbMATH Keywords: slowly changing function in the sense of Karamata
zbMATH Keywords: growth and distribution of zeros of entire functions
MaRDI profile type: Publication
cites work: Q5531193
cites work: Q4169604
cites work: Q3269308
full work available at URL: https://doi.org/10.1007/bf02880967
OpenAlex ID: W4237135978
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description: scientific article; zbMATH DE number 4105267