Acceleration of the convergence of series containing Mathieu functions using Shanks transformation

@article{Erricolo2003AccelerationOT,
  title={Acceleration of the convergence of series containing Mathieu functions using Shanks transformation},
  author={Danilo Erricolo},
  journal={IEEE Antennas and Wireless Propagation Letters},
  year={2003},
  volume={2},
  pages={58-61}
}
  • Danilo Erricolo
  • Published 2003 in IEEE Antennas and Wireless Propagation Letters
A modification of the standard application of Shanks transformation is shown to improve the convergence rate in certain cases where the straightforward application of Shanks transformation fails. Here, the straightforward application of Shanks transformation to a well known series expansion containing Mathieu functions failed to improve the convergence rate. However, convergence was achieved by a new method of applying Shanks transformation. This new method requires analysis of the behavior of… CONTINUE READING
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