CERTAIN k-FRACTIONAL CALCULUS OPERATORS AND IMAGE FORMULAS OF GENERALIZED k-BESSEL FUNCTION

被引：1
|
作者：
Agarwal, P. [1 ,2 ,3 ]
Suthar, D. L. [4 ]
Tadesse, Hagos [4 ]
Habenom, Haile [4 ]
机构：
[1] Anand Int Coll Engn, Dept Math, Jaipur 303012, Rajasthan, India
[2] Ajman Univ, Nonlinear Dynam Res Ctr NDRC, Ajman, U Arab Emirates
[3] Int Ctr Basic & Appl Sci, Jaipur 302029, Rajasthan, India
[4] Wollo Univ, Dept Math, POB 1145, Dessie, Ethiopia
来源：
HONAM MATHEMATICAL JOURNAL | 2021年 / 43卷 / 02期
关键词：
k-hypergeometric function; k-Wright function; k-Bessel function; k-fractional calculus operators; GAMMA-FUNCTION;
D O I：
10.5831/HMJ.2021.43.2.167
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the Saigo's k-fractional integral and derivative operators involving k-hypergeometric function in the kernel are applied to the generalized k-Bessel function; results are expressed in term of k-Wright function, which are used to present image formulas of integral transforms including beta transform. Also special cases related to fractional calculus operators and Bessel functions are considered.
引用
收藏
页码：167 / 181
页数：15
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