ABELS-EQUATION AND REGULAR GROWTH - VARIATIONS ON A THEME BY ABEL

Authors
SZEKERES G
Citation
G. Szekeres, ABELS-EQUATION AND REGULAR GROWTH - VARIATIONS ON A THEME BY ABEL, Experimental mathematics, 7(2), 1998, pp. 85-100
Citations number
9
Categorie Soggetti
Mathematics,Mathematics
Journal title
Experimental mathematics → ACNP
ISSN journal
10586458
Volume
7
Issue
2
Year of publication
1998
Pages
85 - 100
Database
ISI
SICI code
1058-6458(1998)7:2<85:AARG-V>2.0.ZU;2-W
Abstract
Following a 70-year old suggestion of Paul Levy, a condition is formul ated for the regularity of growth of real functions. The condition, wh ich is quite explicit, makes use of the iterates of the function and s olutions of Abel's functional equation, and is well adapted to a compu ter testing.