Improving series convergence: the simple pendulum and beyond
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DOI: 10.1088/1361-6404/aad876
Abstract: A simple and easy to implement method for improving the convergence of a power series is presented. We observe that the most obvious or analytically convenient point about which to make a series expansion is… read more here.
Keywords: simple pendulum; series convergence; series; improving series ... See more keywords
Series of Convergence Rate −1/4 Containing Harmonic Numbers
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DOI: 10.3390/axioms12060513
Abstract: Two general transformations for hypergeometric series are examined by means of the coefficient extraction method. Several interesting closed formulae are shown for infinite series containing harmonic numbers and binomial/multinomial coefficients. Among them, three conjectured identities… read more here.
Keywords: containing harmonic; series; convergence rate; harmonic numbers ... See more keywords