On d-orthogonal polynomials with Brenke type generating functions

被引：2

作者：

Chaggara, Hamza ^{[1
]}

Gahami, Abdelhamid ^{[2
]}

机构：

[1] King Khalid Univ, Coll Sci, POB 9004, Abha 61413, Saudi Arabia

[2] Sousse Univ, Higher Sch Sci & Technol, MaPSFA Lab, Sousse, Tunisia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 535卷 / 01期

关键词：

Brenke polynomials; d-orthogonal polynomials; Generating functions; (m+1)-fold symmetric polynomials; Lowering operators; Raising operators;

D O I：

10.1016/j.jmaa.2024.128123

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The polynomial sequences of Brenke type {P-n}(n >= 0) are defined by the following generating function: Sigma(infinity)(n=0) Pn(x)/n! t(n) = A(t)B(xt), where A and B are two formal power series subject to the conditions A(0) B(k)(0) not equal 0, k = 0, 1, 2 .... In this work, we characterize all d-orthogonal polynomial sets of Brenke type. That allows us to obtain several new and known results. We give some examples as illustration. (c) 2024 Elsevier Inc. All rights reserved.

引用

页数：19

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