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. Preprints2018, 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
Duran, U.; Acikgoz, M.; Araci, S. A Study on Some New Results Arising from (p,q)-Calculus. Preprints2018, 2018030072. https://doi.org/10.20944/preprints201803.0072.v1
APA Style
Duran, U., Acikgoz, M., & Araci, S. (2018). A Study on Some New Results Arising from (p,q)-Calculus. Preprints. https://doi.org/10.20944/preprints201803.0072.v1
Chicago/Turabian Style
Duran, U., Mehmet Acikgoz and Serkan Araci. 2018 "A Study on Some New Results Arising from (p,q)-Calculus" Preprints. 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.
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.
