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.
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页数：19
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