SOME ITERATED FRACTIONAL q-INTEGRALS AND THEIR APPLICATIONS

被引：17
作者：
Cao, Jian [1 ]
Srivastava, H. M. [2 ,3 ]
Liu, Zhi-Guo [4 ,5 ]
机构：
[1] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China
[2] Univ Victoria, Dept Math & Stat, Victoria, BC V8W3R4, Canada
[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan
[4] East China Normal Univ, Sch Math Sci, Shanghai 200241, Peoples R China
[5] East China Normal Univ, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2018年 / 21卷 / 03期
关键词：
iterated fractional q-integrals; fractional q-identities; Rajkovic-Marinkovic-Stankovic polynomials; bilinear generating functions; fractional q-Leibniz formula; Srivastava-Agarwal type generating functions; Rogers-Szego polynomials; Al-Salam-Carlitz polynomials; multilinear generating functions; Q-DIFFERENCE EQUATIONS; GENERATING-FUNCTIONS; Q-POLYNOMIALS; HYPERGEOMETRIC-FUNCTIONS; HAHN POLYNOMIALS; Q-DERIVATIVES; Q-BETA; CALCULUS; EXTENSION; FORMULAS;
D O I：
10.1515/fca-2018-0036
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Motivated by the fact that fractional q-integrals play important roles in numerous areas of mathematical, physical and engineering sciences, it is natural to consider the corresponding iterated fractional q-integrals. The main object of this paper is to define these iterated fractional q-integrals, to build the relations between iterated fractional q-integrals and certain families of generating functions for q-polynomials and to generalize two fractional q-identities which are given in a recent work [Fract. Calc. Appl. Anal. 10 (2007), 359-373]. As applications of the main results presented here, we deduce several bilinear generating functions, Srivastava-Agarwal type generating functions, multilinear generating functions and U(n+1) type generating functions for the Rajkovic-Marinkovic-Stankovic polynomials.
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收藏
页码：672 / 695
页数：24
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