Some Results on Special Functions
| Autor: | YaLin Chuang, 莊雅琳 |
|---|---|
| Rok vydání: | 2002 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 90 The authors first introduce some definitions and well-known results needed in the rest of paper. The main object of this paper is to present a general class of polynomials, and relevant connections of these results with the special cases, the Jacobi polynomials, the Laguerre polynomials, and the Hermite polynomials are also considered. Recently Popov proposed a few results on the subject of polynomial expansions in series of Bernoulli polynomials. Motivated by these, we shall develop a general class of polynomial expansions in series of Euler polynomials. By adapting the methods of Popov, we obtain a general class of polynomial expansions in series of the Euler polynomials. We shall apply the these results to the special cases, the Jacobi polynomial, the Laguerre polynomials, and the Hermite polynomials. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
| Externí odkaz: |
|