A NEW h-DISCRETE FRACTIONAL OPERATOR, FRACTIONAL POWER AND FINITE SUMMATION OF HYPERGEOMETRIC POLYNOMIALS

被引：0
|
作者：
Khitri-Kazi-Tani, Leila [1 ]
Dib, Hacen [1 ]
机构：
[1] Univ Abou Bekr Belkaid Tlemcen, Dept Math, Lab Stat & modelisat aleatoire, Tilimsen, Algeria
来源：
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS | 2022年 / 86卷
关键词：
Discrete fractional calculus; trapezoidal operator; hypergeometric polynomials; sectorial operator; fractional power; matrix function; Meixner polynomials;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we introduce the discrete fractional trapezoidal operators T-h(alpha) for alpha is an element of (0, 1) as the fractional power of the classical trapezoidal formula. Consequently, we derive the fractional power of a triangular matrix. As applications, we determine the eigenvectors of T-h(alpha) and a finite summation formula of the product of hypergeometric polynomials.
引用
收藏
页码：85 / 96
页数：12
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