Título: On The Higher-Order Sheffer Orthogonal Polynomial Sequences | ||
Autor: Galiffa Daniel J. | Precio: $853.50 | |
Editorial: Springer Verlag | Año: 2013 | |
Tema: Matematicas | Edición: | |
Sinopsis | ISBN: 9781461459682 | |
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 the special 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 |