Short proofs of summation and transformation formulas for basic hypergeometric series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

Short proofs of summation and transformation formulas for basic hypergeometric series

Authors:	Victor J.W. Guo Jiang Zeng

Affiliation:	Institut Camille Jordan, Université Claude Bernard (Lyon I), F-69622, Villeurbanne Cedex, France

Abstract:	We show that several terminating summation and transformation formulas for basic hypergeometric series can be proved in a straightforward way. Along the same line, new finite forms of Jacobi's triple product identity and Watson's quintuple product identity are also proved.

Keywords:	Jackson's mmlsi1" onclick=" submitCitation('/science?_ob=MathURL& _method=retrieve& _eid=1-s2.0-S0022247X06004094& _mathId=si1.gif& _pii=S0022247X06004094& _issn=0022247X& _acct=C000054348& _version=1& _userid=3837164& md5=720e5180c8ee87a44c608759e91c706a')" style=" cursor:pointer " alt=" Click to view the MathML source" title=" Click to view the MathML source" > 14" border=" 0" style=" vertical-align:bottom" width=" 23" alt=" View the MathML source" title=" View the MathML source" src=" http://ars.els-cdn.com/content/image/1-s2.0-S0022247X06004094-si1.gif" > summation Watson's mmlsi2" onclick=" submitCitation('/science?_ob=MathURL& _method=retrieve& _eid=1-s2.0-S0022247X06004094& _mathId=si2.gif& _pii=S0022247X06004094& _issn=0022247X& _acct=C000054348& _version=1& _userid=3837164& md5=c0d16ae99c0eac713d5a6f30c4b9a6d2')" style=" cursor:pointer " alt=" Click to view the MathML source" title=" Click to view the MathML source" > 14" border=" 0" style=" vertical-align:bottom" width=" 23" alt=" View the MathML source" title=" View the MathML source" src=" http://ars.els-cdn.com/content/image/1-s2.0-S0022247X06004094-si2.gif" > transformation Bailey's mmlsi3" onclick=" submitCitation('/science?_ob=MathURL& _method=retrieve& _eid=1-s2.0-S0022247X06004094& _mathId=si3.gif& _pii=S0022247X06004094& _issn=0022247X& _acct=C000054348& _version=1& _userid=3837164& md5=95afe9513da9be021cbe97fa7be6d12f')" style=" cursor:pointer " alt=" Click to view the MathML source" title=" Click to view the MathML source" > 15" border=" 0" style=" vertical-align:bottom" width=" 29" alt=" View the MathML source" title=" View the MathML source" src=" http://ars.els-cdn.com/content/image/1-s2.0-S0022247X06004094-si3.gif" > transformation Singh's quadratic transformation Jacobi's triple product identity Watson's quintuple product identity
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