| A new summation identity for the Srivastava-Singhal polynomials | |
|---|---|
| 學年 | 93 |
| 學期 | 1 |
| 出版（發表）日期 | 2004-10-15 |
| 作品名稱 | A new summation identity for the Srivastava-Singhal polynomials |
| 作品名稱（其他語言） | |
| 著者 | 陳功宇; Chen, Kung-yu |
| 單位 | 淡江大學數學學系 |
| 出版者 | Elsevier |
| 著錄名稱、卷期、頁數 | Journal of Mathematical Analysis and Applications 298(2), pp.411-417 |
| 摘要 | In his recent investigations involving differential operators for some generalizations of the classical Laguerre polynomials, H. Bavinck [J. Phys. A Math. Gen. 29 (1996) L277–L279] encountered and proved a certain summation identity for the classical Laguerre polynomials. The main object of this sequel to Bavinck's work is to prove a generalization of this summation identity for the Srivastava–Singhal polynomials. The demonstration, which is presented here in the general case, differs markedly from the earlier proof given for the known special case. It is also indicated how the general summation identity can be applied to derive the corresponding result for one class of the Konhauser biorthogonal polynomials. |
| 關鍵字 | Laguerre polynomials;Generating functions;Srivastava–Singhal polynomials;Stirling numbers of the second kind;Konhauser biorthogonal polynomials;Hermite polynomials |
| 語言 | en_US |
| ISSN | 0022-247X |
| 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/987654321/41315 ) |
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