This method, presented by Ramanujan as an application of the Euler-MacLaurin formula, is here extended using a difference equation in a space of analytic functions. This provides simple proofs of theorems on the summation of some divergent series. Several examples and applications are given. For ...
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Contrast thresholds for were measured for a variety of bandpass-filtered random-dot stereograms in a series of experiments. The principal finding was that contrast thresholds for from 'complex' stereograms composed of mixtures of (a) two... JEW Mayhew,JP Frisby - 《Perception》 被引量: 170发...
Irregular input data in convergence acceleration and summation processes: General considerations and some special Gaussian hypergeometric series as model problems02.30.Gp02.30.Mv03.65.-wSequence transformations accomplish an acceleration of convergence or a summation in the case of divergence by detecting and...
A complex variable modification of the Hill determinant method is shown to give accurate values for the Weyl-Titchmarsh m0([lambda]) function used in the spectral theory of the Schrdinger equation. A method of geometric sampling of partial sums is tested and shown to produce well converged resul...