General Linear Recurrence Sequences and Their Convolution Formulas

被引：2

作者：

Ricci, Paolo Emilio ^{[1
]}

Natalini, Pierpaolo ^{[2
]}

机构：

[1] Int Telemat Univ UniNettuno, Sect Math, Corso Vittorio Emanuele II 39, I-00186 Rome, Italy

[2] Univ Roma Tre, Dipartimento Matemat & Fis, Largo San Leonardo Murialdo 1, I-00146 Rome, Italy

来源：

AXIOMS | 2019年 / 8卷 / 04期

关键词：

liner recursions; convolution formulas; Gegenbauer polynomials; Humbert polynomials; classical polynomials in several variables; classical number sequences; FIBONACCI NUMBERS;

D O I：

10.3390/axioms8040132

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend a technique recently introduced by Chen Zhuoyu and Qi Lan in order to find convolution formulas for second order linear recurrence polynomials generated by 11+at+bt2x. The case of generating functions containing parameters, even in the numerator is considered. Convolution formulas and general recurrence relations are derived. Many illustrative examples and a straightforward extension to the case of matrix polynomials are shown.

引用

页数：11

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