An Analytic Method for Convergence Acceleration of Certain Hypergeometric Series

نویسندگان

  • STANISLAW LEWANOWICZ
  • STEFAN PASZKOWSKI
چکیده

A method is presented for convergence acceleration of the generalized hypergeometric series 3F2 with the argument ±1 , using analytic properties of their terms. Iterated transformation of the series is performed analytically, which results in obtaining new fast converging expansions for some special functions and mathematical constants.

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تاریخ انتشار 2010