Tbilisi Mathematical Journal

The presentation of a new type of quantum calculus

Abdolali Neamaty and Mehdi Tourani

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Abstract

In this paper we introduce a new type of quantum calculus, the $p$-calculus involving two concepts of $p$-derivative and $p$-integral. After familiarity with them some results are given.

Article information

Source
Tbilisi Math. J., Volume 10, Issue 2 (2017), 15-28.

Dates
Received: 14 May 2016
Accepted: 25 December 2016
First available in Project Euclid: 26 May 2018

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1527300040

Digital Object Identifier
doi:10.1515/tmj-2017-0022

Mathematical Reviews number (MathSciNet)
MR3610027

Zentralblatt MATH identifier
1358.05033

Subjects
Primary: 05A30: $q$-calculus and related topics [See also 33Dxx]
Secondary: 34A25: Analytical theory: series, transformations, transforms, operational calculus, etc. [See also 44-XX]

Keywords
$p$-derivative $p$-antiderivative $p$-integral

Citation

Neamaty, Abdolali; Tourani, Mehdi. The presentation of a new type of quantum calculus. Tbilisi Math. J. 10 (2017), no. 2, 15--28. doi:10.1515/tmj-2017-0022. https://projecteuclid.org/euclid.tbilisi/1527300040


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References

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