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.
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页数：11
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