Odd and even Lidstone-type polynomial sequences. Part 1: basic topics
Abstract 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 seque...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-08-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1733-5 |
| _version_ | 1818609576889548800 |
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| author | F. A. Costabile M. I. Gualtieri A. Napoli M. Altomare |
| author_facet | F. A. Costabile M. I. Gualtieri A. Napoli M. Altomare |
| author_sort | F. A. Costabile |
| collection | DOAJ |
| description | Abstract 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. |
| first_indexed | 2024-12-16T15:00:45Z |
| format | Article |
| id | doaj.art-0234907c92d84e9183bc62cbf26f22b5 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-16T15:00:45Z |
| publishDate | 2018-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-0234907c92d84e9183bc62cbf26f22b52022-12-21T22:27:17ZengSpringerOpenAdvances in Difference Equations1687-18472018-08-012018112610.1186/s13662-018-1733-5Odd and even Lidstone-type polynomial sequences. Part 1: basic topicsF. A. Costabile0M. I. Gualtieri1A. Napoli2M. Altomare3Department of Mathematics and Computer Science, University of CalabriaDepartment of Mathematics and Computer Science, University of CalabriaDepartment of Mathematics and Computer Science, University of CalabriaDepartment of Mathematics and Computer Science, University of CalabriaAbstract 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.http://link.springer.com/article/10.1186/s13662-018-1733-5Lidstone polynomialsPolynomial sequencesInfinite matrices |
| spellingShingle | F. A. Costabile M. I. Gualtieri A. Napoli M. Altomare Odd and even Lidstone-type polynomial sequences. Part 1: basic topics Advances in Difference Equations Lidstone polynomials Polynomial sequences Infinite matrices |
| title | Odd and even Lidstone-type polynomial sequences. Part 1: basic topics |
| title_full | Odd and even Lidstone-type polynomial sequences. Part 1: basic topics |
| title_fullStr | Odd and even Lidstone-type polynomial sequences. Part 1: basic topics |
| title_full_unstemmed | Odd and even Lidstone-type polynomial sequences. Part 1: basic topics |
| title_short | Odd and even Lidstone-type polynomial sequences. Part 1: basic topics |
| title_sort | odd and even lidstone type polynomial sequences part 1 basic topics |
| topic | Lidstone polynomials Polynomial sequences Infinite matrices |
| url | http://link.springer.com/article/10.1186/s13662-018-1733-5 |
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