完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.author | Hwang, CW | en_US |
dc.date.accessioned | 2014-12-08T15:03:04Z | - |
dc.date.available | 2014-12-08T15:03:04Z | - |
dc.date.issued | 1995-11-01 | en_US |
dc.identifier.issn | 0949-7714 | en_US |
dc.identifier.uri | http://dx.doi.org/10.1007/BF00863422 | en_US |
dc.identifier.uri | http://hdl.handle.net/11536/1661 | - |
dc.description.abstract | The product of two associated Legendre functions can be represented by a finite series in associated Legendre functions with unique coefficients. In this study a method is proposed to compute the coefficients in this product-sum formula. The method is of recursive nature and is based on the straightforward polynomial form of the associated Legendre function's factor. The method is verified through the computation of integrals of products of two associated Legendre functions over a given interval and the computation of integrals of products of two Legendre polynomials over [0,1]. These coefficients are basically constant and can be used in any future related applications. A table containing the coefficients up to degree 5 is given for ready reference. | en_US |
dc.language.iso | en_US | en_US |
dc.title | A method for computing the coefficients in the product-sum formula of associated Legendre functions | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1007/BF00863422 | en_US |
dc.identifier.journal | JOURNAL OF GEODESY | en_US |
dc.citation.volume | 70 | en_US |
dc.citation.issue | 1-2 | en_US |
dc.citation.spage | 110 | en_US |
dc.citation.epage | 116 | en_US |
dc.contributor.department | 交大名義發表 | zh_TW |
dc.contributor.department | 土木工程學系 | zh_TW |
dc.contributor.department | National Chiao Tung University | en_US |
dc.contributor.department | Department of Civil Engineering | en_US |
dc.identifier.wosnumber | WOS:A1995UB94600009 | - |
dc.citation.woscount | 5 | - |
顯示於類別: | 期刊論文 |