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

页码：85 / 96

页数：12

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