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The "geometric" part is a slowly converging series that the convergence depends strongly on contacts dimensions.
We convergingn detail the caseriesn X is a Marcinkiewicz or an exponential Orlicz space.
It is transformed into a quickly converging series with terms decreasing exponentially to zero.
In a limited range of arguments, the H function can be expressed in terms of a rapidly converging series of Bernoulli constants.
Besides, many rapidly converging series for (zeta (2n+1)) have been introduced by Srivastava in a review article [13] and by other authors [12, 14].
In the present work, a more convenient form of Green's function for such a waveguide is obtained as a sum of two quickly converging series.
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For non-integer values ofs, the four solution functions are converging power series.
The dynamic Green's functions for thin rectangular plates having two opposite edges simply supported are given in terms of a rapidly converging Levy series.
This method has the somewhat magical property of converting a poorly converging power series into a usually much better behaved rational polynomial.
Havana Vieja: narrow warrens of streets converging on a series of often beautiful plazas, like squares or green parks.
Analytic number theory: Presentation of several computationally-friendly and rapidly-converging series representations for Riemann's zeta function, Dirichlet's L-series, introduction and application of some novel techniques for closed-form evaluations of series involving a wide variety of sequences and functions of analytic number theory, and so on.
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