| 书目名称 | On the Higher-Order Sheffer Orthogonal Polynomial Sequences |
| 编辑 | Daniel J. Galiffa |
| 视频video | |
| 概述 | Addresses preliminary insights regarding the characterization of Orthogonal Polynomial Sequences.Gives a concise and informative overview of the development of the B- Type 0 Orthogonal Polynomail Sequ |
| 丛书名称 | SpringerBriefs in Mathematics |
| 图书封面 |  |
| 描述 | On the Higher-Order Sheffer Orthogonal Polynomial Sequences sheds light on the existence/non-existence of B-Type 1 orthogonal polynomials. This book presents a template for analyzing potential orthogonal polynomial sequences including additional higher-order Sheffer classes. This text not only shows that there are no OPS for thespecial case the B-Type 1 class, but that there are no orthogonal polynomial sequences for the general B-Type 1 class as well. Moreover, it is quite provocative how the seemingly subtle transition from the B-Type 0 class to the B-Type 1 class leads to a drastically more difficult characterization problem. Despite this issue, a procedure is established that yields a definite answer to our current characterization problem, which can also be extended to various other characterization problems as well.Accessible to undergraduate students in the mathematical sciences and related fields, This book functions as an important reference work regarding the Sheffer sequences. The author takes advantage of Mathematica 7 to display unique detailed code and increase the reader‘s understanding of the implementation of Mathematica 7 and facilitate further experimentation. In |
| 出版日期 | Book 2013 |
| 关键词 | B-Type 1; Mathematica; Orthogonal Polynomials; Recurrence Relations; Recursion Coefficients; Sheffer Sequ |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4614-5969-9 |
| isbn_softcover | 978-1-4614-5968-2 |
| isbn_ebook | 978-1-4614-5969-9Series ISSN 2191-8198 Series E-ISSN 2191-8201 |
| issn_series | 2191-8198 |
| copyright | Daniel J. Galiffa 2013 |
发表于 2025-3-21 19:15:17
