Combinatorial Identities from Lagrange's Interpolation Polynomial

碩士 === 國立交通大學 === 應用數學系所 === 103 === For a given real polynomial g(x) and infinite sequence a=(a_0,a_1,...) of distinct real numbers, we define the sequence L_a(g(x),n). We find that L_a(x^k,n) appears in coefficient of a term of some Lagrange's interpolation polynomial, and is also a generaliz...

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Main Authors:	Huang, Yen-Jung, 黃嬿蓉
Other Authors:	Weng, Chih-Wen
Format:	Others
Language:	en_US
Published:	2015
Online Access:	http://ndltd.ncl.edu.tw/handle/30250069414157573515

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spelling	ndltd-TW-103NCTU55070852016-07-02T04:29:13Z http://ndltd.ncl.edu.tw/handle/30250069414157573515 Combinatorial Identities from Lagrange's Interpolation Polynomial 拉格朗日插值多項式與組合恆等式 Huang, Yen-Jung 黃嬿蓉碩士國立交通大學應用數學系所 103 For a given real polynomial g(x) and infinite sequence a=(a_0,a_1,...) of distinct real numbers, we define the sequence L_a(g(x),n). We find that L_a(x^k,n) appears in coefficient of a term of some Lagrange's interpolation polynomial, and is also a generalization of the Stirling number of the second kind. Further properties of L_a(g(x),n) related to identities and combinatorial structure are given. Weng, Chih-Wen 翁志文 2015 學位論文 ; thesis 20 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立交通大學 === 應用數學系所 === 103 === For a given real polynomial g(x) and infinite sequence a=(a_0,a_1,...) of distinct real numbers, we define the sequence L_a(g(x),n). We find that L_a(x^k,n) appears in coefficient of a term of some Lagrange's interpolation polynomial, and is also a generalization of the Stirling number of the second kind. Further properties of L_a(g(x),n) related to identities and combinatorial structure are given.
author2	Weng, Chih-Wen
author_facet	Weng, Chih-Wen Huang, Yen-Jung 黃嬿蓉
author	Huang, Yen-Jung 黃嬿蓉
spellingShingle	Huang, Yen-Jung 黃嬿蓉 Combinatorial Identities from Lagrange's Interpolation Polynomial
author_sort	Huang, Yen-Jung
title	Combinatorial Identities from Lagrange's Interpolation Polynomial
title_short	Combinatorial Identities from Lagrange's Interpolation Polynomial
title_full	Combinatorial Identities from Lagrange's Interpolation Polynomial
title_fullStr	Combinatorial Identities from Lagrange's Interpolation Polynomial
title_full_unstemmed	Combinatorial Identities from Lagrange's Interpolation Polynomial
title_sort	combinatorial identities from lagrange's interpolation polynomial
publishDate	2015
url	http://ndltd.ncl.edu.tw/handle/30250069414157573515
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Combinatorial Identities from Lagrange's Interpolation Polynomial

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