完整後設資料紀錄
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dc.contributor.authorHwang, CWen_US
dc.date.accessioned2014-12-08T15:03:04Z-
dc.date.available2014-12-08T15:03:04Z-
dc.date.issued1995-11-01en_US
dc.identifier.issn0949-7714en_US
dc.identifier.urihttp://dx.doi.org/10.1007/BF00863422en_US
dc.identifier.urihttp://hdl.handle.net/11536/1661-
dc.description.abstractThe 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.isoen_USen_US
dc.titleA method for computing the coefficients in the product-sum formula of associated Legendre functionsen_US
dc.typeArticleen_US
dc.identifier.doi10.1007/BF00863422en_US
dc.identifier.journalJOURNAL OF GEODESYen_US
dc.citation.volume70en_US
dc.citation.issue1-2en_US
dc.citation.spage110en_US
dc.citation.epage116en_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.departmentNational Chiao Tung Universityen_US
dc.contributor.departmentDepartment of Civil Engineeringen_US
dc.identifier.wosnumberWOS:A1995UB94600009-
dc.citation.woscount5-
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