libcats.org
Главная

The Askey scheme of hypergeometric orthogonal polynomials and its q-analogue

Обложка книги The Askey scheme of hypergeometric orthogonal polynomials and its q-analogue

The Askey scheme of hypergeometric orthogonal polynomials and its q-analogue

,
We list the so-called Askey-scheme of hypergeometric orthogonal polynomials and we give a qanalogue of this scheme containing basic hypergeometric orthogonal polynomials. In chapter 1 we give the definition, the orthogonality relation, the three term recurrence relation, the second order differential or difference equation, the forward and backward shift operator, the Rodrigues-type formula and generating functions of all classes of orthogonal polynomials in this scheme. In chapter 2 we give the limit relations between different classes of orthogonal polynomials listed in the Askey-scheme. In chapter 3 we list the q-analogues of the polynomials in the Askey-scheme. We give their definition, orthogonality relation, three term recurrence relation, second order difference equation, forward and backward shift operator, Rodrigues-type formula and generating functions. In chapter 4 we give the limit relations between those basic hypergeometric orthogonal polynomials. Finally, in chapter 5 we point out how the 'classical' hypergeometric orthogonal polynomials of the Askey-scheme can be obtained from their q-analogues.
Ссылка удалена правообладателем
----
The book removed at the request of the copyright holder.
Популярные книги за неделю:
Только что пользователи скачали эти книги: