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Duplicate form of Carlitz inversions and summation formulae
Authors:Chuanan Wei  Dianxuan Gong  Xiaoming Fu
Institution:aDepartment of Information Technology, Hainan Medical College, Haikou 571101, China;bCollege of Sciences, Hebei Polytechnic University, Tangshan 063009, China
Abstract:By applying the duplicate form of Carlitz inversions to three special cases of the q-Saalschütz theorem respectively, we establish three classes of interesting summation formulae.
Keywords:Duplicate form of Carlitz inversions  Basic hypergeometric series  _method=retrieve&  _eid=1-s2  0-S0012365X11001592&  _mathId=si2  gif&  _pii=S0012365X11001592&  _issn=0012365X&  _acct=C000051805&  _version=1&  _userid=1154080&  md5=463743b928c66480ee71e8c63e8ffe0f')" style="cursor:pointer  q-Saalschü" target="_blank">">q-Saalschü  tz theorem
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