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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 <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="Subscript 3 Baseline upper F 2"> <mml:semantics> <mml:mrow> <mml:msub> <mml:mi /> <mml:mn>3</mml:mn> </mml:msub> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>F</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:mrow> </mml:mrow> <mml:annotation encoding="application/x-tex">_3{F_2}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> with the argument <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="plus-or-minus …