A Table of Derivatives on Arbitrary Time Scales

Abstract

This paper presents a collection of useful formulas of dynamic derivatives on time scales, systematically collected for reference purposes. As an application, we define trigonometric and hyperbolic functions on time scales in such a way the most essential qualitative properties of the corresponding continuous functions are generalized in a proper way.

arXiv commentThis is a preprint of a paper whose final and definite form is with 'Global and Stochastic Analysis' (GSA), ISSN 2248-9444, available at [http://www.mukpublications.com/gsa.php]. First Submitted 26-July-2016; Revised 15-Nov-2016; Accepted 22-Nov-2016

References in corpus (2)

• Time scales: from Nabla calculus to Delta calculus and vice versa via duality
• The Natural Logarithm on Time Scales