A fractional q-derivative operator and fractional extensions of some q-orthogonal polynomials

被引：0
|
作者：
Sadjang, P. Njionou [1 ]
Mboutngam, S. [2 ]
机构：
[1] Univ Douala, Fac Ind Engn, Douala, Cameroon
[2] Univ Maroua, Higher Teachers Training Coll, Maroua, Cameroon
来源：
RAMANUJAN JOURNAL | 2021年 / 54卷 / 01期
关键词：
q-Fractional calculus; Fractional q-derivative; q-Hypergeometric functions; q-Orthogonal polynomials; Fractional q-differential equations;
D O I：
10.1007/s11139-019-00181-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A fractional q-derivative operator is introduced and some of its properties have been proved. Next, a fractional q-differential equation of Gauss type is introduced and solved by means of a power series method. Finally, q-extensions of some classical q-orthogonal polynomials are introduced and some of the main properties of the newly defined functions are given.
引用
收藏
页码：29 / 41
页数：13
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