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A Study on Some New Results Arising from (p, q)-Calculus

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Date

2020

Author

Duran, Uğur
Açıkgöz, Mehmet
Aracı, Serkan

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Citation

Duran, U., Acikgoz, M., Araci, S. (2020). A Study on Some New Results Arising from (p,q)-Calculus. Twms Journal of Pure and Applied Mathematics. DOI: 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 given. Also, a new (p, q)-analogue of the exponential function is introduced and its properties including the addition property for (p, q)-exponential functions are investigated. Several useful results involving (p, q)binomial co-efficients 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.

Source

Twms Journal of Pure and Applied Mathematics

Volume

11

Issue

1

URI

https://hdl.handle.net/20.500.12508/1134

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