Open Access
4- https://doi.org/10.1080/10586458.1998.10504359
Abel's Equation and Regular Growth: Variations on a Theme by Abel
- Jan 1, 1998
- Experimental Mathematics
- George Szekeres
Abstract
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.
- # Abel's Equation
- # Regular Growth
- # Solutions Of Equation
- # Numerous Experiments
- # Regularity Criterion
- # Computer Testing
- # Real Functions
- # Numerous Computer
- # Computer Experiments
