Title of article
Generalized elementary functions
Author/Authors
Antunes Monteiro، نويسنده , , Giselle and Slavيk، نويسنده , , Antonيn، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2014
Pages
15
From page
838
To page
852
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
Generalized linear ordinary differential equations , Time scale calculus , Elementary functions , Kurzweil–Stieltjes integral
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2014
Journal title
Journal of Mathematical Analysis and Applications
Record number
1564191
Link To Document