Generalized elementary functions

0421706 - MÚ 2015 RIV US eng J - Journal Article
Monteiro, Giselle Antunes - Slavík, A.
Generalized elementary functions.
Journal of Mathematical Analysis and Applications. Roč. 411, č. 2 (2014), s. 838-852. ISSN 0022-247X. E-ISSN 1096-0813
Institutional support: RVO:67985840
Keywords : elementary functions * Kurzweil-Stieltjes integral * generalized linear ordinary differential equations * time scale calculus
Subject RIV: BA - General Mathematics
Impact factor: 1.120, year: 2014
http://www.sciencedirect.com/science/article/pii/S0022247X13009141

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.
Permanent Link: http://hdl.handle.net/11104/0227980