Abel's equation and regular growth: variations on a theme by Abel
Szekeres, George
Experiment. Math., Tome 7 (1998) no. 4, p. 85-100 / Harvested from Project Euclid
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Following a 70-year old suggestion of Paul Lévy, a condition is formulated for the regularity of growth of real functions. The condition, which is quite explicit, makes use of the iterates of the function and solutions of Abel's functional equation, and is well adapted to a computer testing. ¶ Numerous computer experiments reveal interesting properties of the proposed regularity criterion.
Publié le : 1998-05-14
Classification:  26A12,  39B22 
@article{1048515657,
     author = {Szekeres, George},
     title = {Abel's equation and regular growth: variations on a theme by Abel},
     journal = {Experiment. Math.},
     volume = {7},
     number = {4},
     year = {1998},
     pages = { 85-100},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1048515657}
}

Szekeres, George. Abel's equation and regular growth: variations on a theme by Abel. Experiment. Math., Tome 7 (1998) no. 4, pp.  85-100. http://gdmltest.u-ga.fr/item/1048515657/