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Six-variable generalization of Ramanujan's reciprocity theorem and its variants
Authors:XR Ma
Institution:Department of Mathematics, SuZhou University, SuZhou 215006, PR China
Abstract:By virtue of Shukla's well-known bilateral View the MathML source summation formula and Watson's transfor-mation formula, we extend the four-variable generalization of Ramanujan's reciprocity theorem due to Andrews to a six-variable one. Some novel variants of Ramanujan's reciprocity theorem and q-series identities are presented.
Keywords:q-Series  Reciprocity theorem  Bailey's _method=retrieve&  _eid=1-s2  0-S0022247X08011177&  _mathId=si2  gif&  _pii=S0022247X08011177&  _issn=0022247X&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=5b53a29fd2d2fed16ce8f5e211484bf3')" style="cursor:pointer  View the MathML source" alt="Click to view the MathML source" title="Click to view the MathML source">View the MathML sourcesciencedirect  com/content/image/1-s2  0-S0022247X08011177-si2   summation formula" target="_blank">gif"> summation formula  Shukla's _method=retrieve&  _eid=1-s2  0-S0022247X08011177&  _mathId=si3  gif&  _pii=S0022247X08011177&  _issn=0022247X&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=5b039a8646c1e57a33137a429bba0d65')" style="cursor:pointer  View the MathML source" alt="Click to view the MathML source" title="Click to view the MathML source">View the MathML sourcesciencedirect  com/content/image/1-s2  0-S0022247X08011177-si3   summation formula" target="_blank">gif"> summation formula  Sears' transformation formula  Watson's transformation formula
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