||Pei-kang Hsia |
|Author's Email Address
||This thesis had been viewed 5060 times. Download 265 times.|
|Type of Document
||Some orthogonal polynomials and their general properties|
|Date of Defense
recur- rence relations and Favard’s Theorem
||We shall study the mathematical properties of some classical orthogonal polynomials:|
Chebyshev polynomials of the first kind, Chebyshev polynomials of the second kind, Laguerre polynomials and Jacobi polynomials.
All of these orthogonal polynomials observe the properties:
(c)Associated differential equations;
These properties are the main reasons why these polynomials are important in mathematics and in applications.
We shall study these properties for each of the above classical orthogonal polynomials in detail.
On the other hand, we shall study the general relationship among these properties. Our work mainly follows the monographs of Folland and Chihara.
||Hsin-Yuan Huang - chair|
Kung-Chien Wu - co-chair
Chun-Kong Law - advisor
indicate access worldwide|
|Date of Submission