Certain classes of polynomial expansions and multiplication formulas

淡江大學機構典藏 > 理學院 > 數學學系暨研究所 > 期刊論文 > Item 987654321/58700

jsp.display-item.identifier=請使用永久網址來引用或連結此文件: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/58700

题名:	Certain classes of polynomial expansions and multiplication formulas
作者:	陳功宇;Chen, Kung-yu;Chyan, C. J.;Srivastava, H. M.錢傳仁= Chyan, Chuan-jen;Srivastava, H. M.;Chen, Kung-yu
贡献者:	淡江大學數學學系
关键词:	Polynomial expansions;Multiplication formulas;Bernoulli and Euler polynomials;Generalized hypergeometric polynomials;Generating functions;Dixon's summation theorem;Jacobi polynomials;Laguerre polynomials;Generalized Bessel polynomials;Hermite polynomials;Gegenbauer (or ultraspherical) polynomials;Generalized Rice polynomials;Chu-Vandermonde theorem;Legendre (or spherical) polynomials;Chebyshev polynomials
日期:	2003-01-01
上传时间:	2011-10-01 21:04:21 (UTC+8)
摘要:	The authors first present a class of expansions in a series of Bernoulli polyomials and then show how this general result can be applied to yield various (known or new) polynomial expansions. The corresponding expansion problem involving the Euler polynomials is then considered in an analogous manner. Several general multiplication formulas, involving (for example) certain families of generalized hypergeometric polynomials, are also investigated in the context especially of the classical Jacobi, Laguerre, and other related orthogonal polynomials.
關聯:	Mathematical and computer modelling 37(1-2), pp.135-154
DOI:	10.1016/S0895-7177(03)80010-9
显示于类别:	[數學學系暨研究所] 期刊論文

文件中的档案:

档案	大小	格式	浏览次数
Certain classes of polynomial expansions and multiplication formulas.pdf	826Kb	Adobe PDF	1	检视/开启
index.html	0Kb	HTML	100	检视/开启
index.html	0Kb	HTML	94	检视/开启

在機構典藏中所有的数据项都受到原著作权保护.

TAIR相关文章