Evaluation of convergent series by using finite parts
We present a method to find the sum of a convergent series based on the computation of Hadamard finite part limits of partial sums. We give several illustrations, the main being the formulas for convergent series of the type \(\sum_{n=2}^{\infty}\frac{\left( -1\right) ^{n}\zeta\left( n,a\right) b^{n...
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| Format: | Article |
| Language: | English |
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Ptolemy Scientific Research Press
2020-03-01
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| Series: | Open Journal of Mathematical Sciences |
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| Online Access: | https://pisrt.org/psr-press/journals/oms-vol-4-2020/evaluation-of-convergent-series-by-using-finite-parts/ |