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An expectation formula with applications
Authors:Mingjin Wang
Institution:Department of Applied Mathematics, Changzhou University, Changzhou, Jiangsu, 213164, PR China
Abstract:In this paper, we derive an expectation formula of a random variable having distribution W(x;q). As applications of the expectation formula, we give a transformation formula and an expansion of Sears? View the MathML source transformation formula.
Keywords:Andrews-Askey integral  Probability distribution _method=retrieve&  _eid=1-s2  0-S0022247X1100062X&  _mathId=si3  gif&  _pii=S0022247X1100062X&  _issn=0022247X&  _acct=C000053510&  _version=1&  _userid=1524097&  md5=1d9c87d5d23be61ba56d1f0bc4ad135c')" style="cursor:pointer  W(x" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">W(x  q)  Al-Salam and Verma q-integral  Lebesgue?s dominated convergence theorem  Basic hypergeometric function _method=retrieve&  _eid=1-s2  0-S0022247X1100062X&  _mathId=si4  gif&  _pii=S0022247X1100062X&  _issn=0022247X&  _acct=C000053510&  _version=1&  _userid=1524097&  md5=1358d9c23059eb3d6c52f89d3e5bcba7')" 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-S0022247X1100062X-si4  " target="_blank">gif">
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