Article ID Journal Published Year Pages File Type
4615965 Journal of Mathematical Analysis and Applications 2014 15 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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