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Irrationality proof of certain Lambert series using little q-Jacobi polynomials
Authors:J. Coussement
Affiliation:Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, 3001 Leuven, Belgium
Abstract:We apply the Padé technique to find rational approximations to
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Keywords:Padé   approximation   Little   mmlsi30"   onclick="  submitCitation('/science?_ob=MathURL&  _method=retrieve&  _eid=1-s2.0-S0377042709001125&  _mathId=si30.gif&  _pii=S0377042709001125&  _issn=03770427&  _acct=C000051805&  _version=1&  _userid=1154080&  md5=f6a4816af33a91320f5e54fd225aaba1')"   style="  cursor:pointer  "   alt="  Click to view the MathML source"   title="  Click to view the MathML source"  >  formulatext"   title="  click to view the MathML source"  >q-Jacobi polynomials   Irrationality   Measure of irrationality     mmlsi31"   onclick="  submitCitation('/science?_ob=MathURL&  _method=retrieve&  _eid=1-s2.0-S0377042709001125&  _mathId=si31.gif&  _pii=S0377042709001125&  _issn=03770427&  _acct=C000051805&  _version=1&  _userid=1154080&  md5=01175284d9d99f7e234b53362ebbdf73')"   style="  cursor:pointer  "   alt="  Click to view the MathML source"   title="  Click to view the MathML source"  >  formulatext"   title="  click to view the MathML source"  >q-series
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