An Analytic Method for Convergence Acceleration of Certain Hypergeometric Series
An Analytic Method for Convergence Acceleration of Certain Hypergeometric Series
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.