A class of new transforms tailored for the hypergeometric series |
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Authors: | Sanjukta Chatterjee |
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Affiliation: | Department of Physics, Jadavpur University, Calcutta 700032, India |
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Abstract: | A new class of transforms, tailored for the hypergeometric series, is proposed and tested on a number of series. From a knowledge of a given number of terms of a sequence, these transforms reproduce the functions with a better accuracy than the Levin-like transforms. Though there exists a correlation between the approximative power of a rational approximant and its ability to predict the leading terms of a series, there are exceptions to this, especially in the case of divergent series. The new transforms can, in most cases, predict a number of extra terms not used in the construction of the approximants. |
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Keywords: | Hypergeometric series Levin-like transforms Prediction |
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