On the finite sum representations of the Lauricella functions <Emphasis Type="Italic">F</Emphasis><Subscript>D</Subscript>期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On the finite sum representations of the Lauricella functions FD

Authors:	Jieqing?Tan author-information" > author-information__contact u-icon-before" > mailto:jqtan@mail.hf.ah.cn" title=" jqtan@mail.hf.ah.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Ping?Zhou

Affiliation:	(1) Institute of Applied Mathematics, College of Sciences and CAD/CG Division, College of Computer & Information, Hefei University of Technology, Hefei, 230009, P. R. China;(2) Department of Mathematics, Statistics and Computer Science, St. Francis Xavier University,, Antigonish, NS, Canada, B2G 2W5

Abstract:	By using divided differences, we derive two different ways of representing the Lauricella function of n variables F_D⁽ⁿ⁾(a,b₁,b₂,...,b_n;c;x₁,x₂,...,x_n) as a finite sum, for b₁,b₂,...,b_n positive integers, and a,c both positive integers or both positive rational numbers with c–a a positive integer.AMS subject classification 33D45, 40B05, 40C99Jieqing Tan: Research supported by the National Natural Science Foundation of China under Grant No. 10171026 and Anhui Provincial Natural Science Foundation under Grant No. 03046102.Ping Zhou: Corresponding author. Research supported by NSERC of Canada.

Keywords:	Lauricella functions Gauss hypergeometric functions divided differences finite sum representations
本文献已被 SpringerLink 等数据库收录！