On Finite Forms of Certain Bilateral Basic Hypergeometric Series and Their Applications
On Finite Forms of Certain Bilateral Basic Hypergeometric Series and Their Applications作者机构：Department of Studies in MathematicsUniversity of Mysore Department of MathematicsMysuru Royal Institute of Technology
出 版 物：《Journal of Mathematical Research with Applications》 (数学研究及应用(英文版))
年 卷 期：2016年第36卷第6期
页 面：665-672页
核心收录：
基 金：The first author is thankful to University Grants Commission(UGC),India for the financial support under the grant SAP-DRS-1-NO.F.510/2/DRS/2011 the second author is thankful to UGC for awarding the Basic Science Research Fellowship,No.F.25-1/2014-15(BSR)/No.F.7-349/2012(BSR)
主 题：bilateral basic hypergeometric series finite forms theta functions sums of squares and sums of triangular numbers
摘 要：In this paper we derive finite forms of the summation formulas for bilateral basic hypergeometric series 3ψ3,4ψ4 and 5ψ5.We therefrom obtain the summation formulae obtained recently by Wenchang CHU and Xiaoxia WANG.As applications of these summation formulae,we deduce the well-known Jacobi’s two and four square theorems,a formula for the number of representations of an integer n as sum of four triangular numbers and some theta function identities.
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