Some infinite series and functional relations that arose in the context of fractional calculus

淡江大學機構典藏 > 理學院 > 應用數學與數據科學學系 > 期刊論文 > Item 987654321/41310

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题名:	Some infinite series and functional relations that arose in the context of fractional calculus
作者:	Chen, Kung-yu;陳功宇;Srivastava, H. M.
贡献者:	淡江大學數學學系
关键词:	fractional calculus;Psi (or Digamma) functions;generalized hypergeometric functions;functional relations;H-functions;Mellin–Barnes contour integral
日期:	2000-12-01
上传时间:	2010-01-28 07:15:39 (UTC+8)
出版者:	Elsevier
摘要:	Several interesting infinite series relations were derived recently by applying such operators of fractional calculus as the familiar Riemann–Liouville fractional differintegral operator 0Dμz of (real or complex) order μ. The main object of this paper is to present much simpler alternative derivations of substantially more general families of infinite series relations without using fractional calculus. Some relevant connections among various known results are also provided.
關聯:	Journal of Mathematical Analysis and Applications 252(1), pp.376-388
DOI:	10.1006/jmaa.2000.7079
显示于类别:	[應用數學與數據科學學系] 期刊論文

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