Generalized elementary functions

0421706 - MÚ 2015 RIV US eng J - Článek v odborném periodiku
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
Institucionální podpora: RVO:67985840
Klíčová slova: elementary functions * Kurzweil-Stieltjes integral * generalized linear ordinary differential equations * time scale calculus
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.120, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0227980