"000327569600030" . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . . "[946C41DF6619]" . "2"^^ . "10.1016/j.jmaa.2013.10.010" . "1"^^ . . . . "Generalized elementary functions" . . . "Generalized elementary functions"@en . "0022-247X" . "15"^^ . "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."@en . . "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." . "Generalized elementary functions" . . "18035" . . . "2" . "http://dx.doi.org/10.1016/j.jmaa.2013.10.010" . "11320" . . "Journal of Mathematical Analysis and Applications" . . "Generalized elementary functions"@en . . "Time scale calculus; Generalized linear ordinary differential equations; Kurzweil-Stieltjes integral; Elementary functions"@en . "Slav\u00EDk, Anton\u00EDn" . "RIV/00216208:11320/14:10190108!RIV15-MSM-11320___" . "I" . . "RIV/00216208:11320/14:10190108" . "Antunes Monteiro, Giselle" . . "411" .