Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615965 | Journal of Mathematical Analysis and Applications | 2014 | 15 Pages |
Abstract
We use the theory of generalized linear differential equations to introduce new definitions of the exponential, hyperbolic and trigonometric functions. We derive some basic properties of these generalized functions, and show that the time scale elementary functions with Lebesgue integrable arguments represent a special case of our definitions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Giselle Antunes Monteiro, Antonín Slavík,