| A new result for hypergeometric polynomials | |
|---|---|
| 學年 | 93 |
| 學期 | 2 |
| 出版（發表）日期 | 2005-04-01 |
| 作品名稱 | A new result for hypergeometric polynomials |
| 作品名稱（其他語言） | |
| 著者 | 陳功宇; Chen, Kung-yu; H. M. Srivastava |
| 單位 | 淡江大學數學學系 |
| 出版者 | American Mathematical Society (AMS) |
| 著錄名稱、卷期、頁數 | Proceedings of the American Mathematical Society 133(11), pp.3295-3302 |
| 摘要 | In some recent investigations involving differential operators for generalized Laguerre polynomials, Herman Bavinck (1996) encountered and proved a certain summation formula for the classical Laguerre polynomials. The main object of this sequel to Bavinck's work is to prove a generalization of this summation formula for a class of hypergeometric polynomials. The demonstration, which is presented here in the general case, differs markedly from the earlier proof given for the known special case. The general summation formula is also applied to derive the corresponding result for the classical Jacobi polynomials. |
| 關鍵字 | Laguerre polynomials;generating functions;hypergeometric polynomials;Stirling numbers of the second kind;Jacobi polynomials;summation formula |
| 語言 | en_US |
| ISSN | 0002-9939 |
| 期刊性質 | 國外 |
| 收錄於 | |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 否 |
| 國別 | USA |
| 公開徵稿 | |
| 出版型式 | ,紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/41405 ) |
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