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

被引：14

作者：

Al-Omari, Shrideh Khalaf ^{[1
]}

机构：

[1] Al Balqa Appl Univ, Dept Phys & Basic Sci, Fac Engn Technol, Amman 11134, Jordan

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2020年 / 2020卷 / 01期

关键词：

q-Laplace transform; q-Natural transform; q-Bessel function; Fox'sq-H-functions; Q-BESSEL FUNCTIONS; TRANSFORM;

D O I：

10.1186/s13660-020-02471-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss theq-Laplace-type integral operator on certain class of special functions. We proposeq-analogues and obtain results involving polynomials of even orders and functions ofq-trigonometric types. Moreover, we establish results related toq-hyperbolic functions and certainq-differential operators. Relying on the givenq-differentiation formulas, we finally derive thenth derivative of theq-Laplace-type integral and attain formulas includingq-convolution products.

引用

页数：14

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