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    Gaussian Hypergeometric Series

    Definition

    A generalized hypergeometric function _p F_q(a_1, ..., a_p ;b_1, ..., b_q ;x) is a function which can be defined in the form of a hypergeometric series, i.e., a series for which the ratio of successive terms can be written c_(k + 1)/c_k = (P(k))/(Q(k)) = ((k + a_1)(k + a_2)...(k + a_p))/((k + b_1)(k + b_2)...(k + b_q)(k + 1)) x.

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