A probabilistic approach is provided to establish new hypergeometric identities. It is based on the calculation of moments of the limiting distribution of the position of the elephant random walk in the superdiffusive regime.
We will exhibit certain continued fraction expansions for power series over a "nite "eld, with all the partial quotients of degree one, which are non-quadratic algebraic elements over the "eld of rational functions.
Elsevier Science
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