期刊論文
| 學年 | 91 |
|---|---|
| 學期 | 1 |
| 出版（發表）日期 | 2003-01-01 |
| 作品名稱 | Certain classes of polynomial expansions and multiplication formulas |
| 作品名稱（其他語言） | |
| 著者 | 陳功宇; Chen, Kung-yu; Chyan, C. J.; Srivastava, H. M.錢傳仁= Chyan, Chuan-jen ; Srivastava, H. M. ; Chen, Kung-yu |
| 單位 | 淡江大學數學學系 |
| 出版者 | |
| 著錄名稱、卷期、頁數 | Mathematical and computer modelling 37(1-2), pp.135-154 |
| 摘要 | The authors first present a class of expansions in a series of Bernoulli polyomials and then show how this general result can be applied to yield various (known or new) polynomial expansions. The corresponding expansion problem involving the Euler polynomials is then considered in an analogous manner. Several general multiplication formulas, involving (for example) certain families of generalized hypergeometric polynomials, are also investigated in the context especially of the classical Jacobi, Laguerre, and other related orthogonal polynomials. |
| 關鍵字 | Polynomial expansions;Multiplication formulas;Bernoulli and Euler polynomials;Generalized hypergeometric polynomials;Generating functions;Dixon's summation theorem;Jacobi polynomials;Laguerre polynomials;Generalized Bessel polynomials;Hermite polynomials;Gegenbauer (or ultraspherical) polynomials;Generalized Rice polynomials;Chu-Vandermonde theorem;Legendre (or spherical) polynomials;Chebyshev polynomials |
| 語言 | en |
| ISSN | |
| 期刊性質 | 國內 |
| 收錄於 | |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 否 |
| 國別 | TWN |
| 公開徵稿 | |
| 出版型式 | ,電子版 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/58700 ) |