q-Analogues and properties of the Laplace-type integral operator in the quantum calculus theory-Reference-Cited by-同舟云学术

q-Analogues and properties of the Laplace-type integral operator in the quantum calculus theory

Published:2020-08-08 Issue:1 Volume:2020 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Al-Omari Shrideh Khalaf^ORCID

Abstract

AbstractIn this paper, we discuss the q-Laplace-type integral operator on certain class of special functions. We propose q-analogues and obtain results involving polynomials of even orders and functions of q-trigonometric types. Moreover, we establish results related to q-hyperbolic functions and certain q-differential operators. Relying on the given q-differentiation formulas, we finally derive the nth derivative of the q-Laplace-type integral and attain formulas including q-convolution products.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13660-020-02471-0.pdf

Reference20 articles.

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