Odd and even Lidstone-type polynomial sequences. Part 1: basic topics

被引：8

作者：

Costabile, F. A. ^{[1
]}

Gualtieri, M. I. ^{[1
]}

Napoli, A. ^{[1
]}

Altomare, M. ^{[1
]}

机构：

[1] Univ Calabria, Dept Math & Comp Sci, Arcavacata Di Rende, Italy

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2018年

关键词：

Lidstone polynomials; Polynomial sequences; Infinite matrices; BOUNDARY-VALUE-PROBLEMS; INTERPOLATORY PROBLEMS; TRIANGULAR MATRICES;

D O I：

10.1186/s13662-018-1733-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two new general classes of polynomial sequences called respectively odd and even Lidstone-type polynomials are considered. These classes include classic Lidstone polynomials of first and second kind. Some characterizations of the two classes are given, including matrix form, conjugate sequences, generating function, recurrence relations, and determinant forms. Some examples are presented and some applications are sketched.

引用

页数：26

共 30 条

[1] Odd and even Lidstone-type polynomial sequences. Part 1: basic topics
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[2] Odd and Even Lidstone-type polynomial sequences. Part 2: applications
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