Article
Version 1
Preserved in Portico This version is not peer-reviewed
A Study on Some New Results Arising from (p,q)-Calculus
Version 1
: Received: 9 March 2018 / Approved: 9 March 2018 / Online: 9 March 2018 (14:49:59 CET)
How to cite: Duran, U.; Acikgoz, M.; Araci, S. A Study on Some New Results Arising from (p,q)-Calculus. Preprints 2018, 2018030072. https://doi.org/10.20944/preprints201803.0072.v1 Duran, U.; Acikgoz, M.; Araci, S. A Study on Some New Results Arising from (p,q)-Calculus. Preprints 2018, 2018030072. https://doi.org/10.20944/preprints201803.0072.v1
Abstract
This paper includes some new investigations and results for post quantum calculus, denoted by (p,q)-calculus. A chain rule for (p,q)-derivative is developed. Also, a new (p,q)-analogue of the exponential function is introduced and some its properties including the addition property for (p,q)-exponential functions are investigated. Several useful results involving (p,q)-binomial coefficients and (p,q)-antiderivative are discovered. At the final part of this paper, (p,q)-analogue of some elementary functions including trigonometric functions and hyperbolic functions are considered and some properties and relations among them are analyzed extensively.
Keywords
q-calculus; (p,q)-calculus; exponential functions; trigonometric functions; hyperbolic functions
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment