A class of transformations of a quadratic integral generating dynamical systems

Authors

  • Paul Bracken University of Texas, USA

DOI:

https://doi.org/10.33993/jnaat462-1113

Keywords:

Landen, transformation, integral, sequence, convergence
Abstract views: 297

Abstract

A class of transformation is investigated which maps a quadratic integral back to its original form but under a redefinition of free parameters. When this process is iterated, a dynamical system is generated in the form of recursive sequences which involve the parameters of the integrand.

The creation of this dynamical system and some of its convergence properties are investigated.

MR3724632

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References

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Published

January 3, 2025

How to Cite

Bracken, P. (2017). A class of transformations of a quadratic integral generating dynamical systems. J. Numer. Anal. Approx. Theory, 46(2), 131–140. https://doi.org/10.33993/jnaat462-1113

Issue

Vol. 46 No. 2 (2017)

Section

Articles

License

Copyright (c) 2017 Paul Bracken

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This work is licensed under a Creative Commons Attribution 4.0 International License.

Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.