Applied and Computational Mathematics

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Evaluation of Holomorphic Ackermanns

Received: Nov. 21, 2014    Accepted: Dec. 17, 2014    Published: Dec. 27, 2014
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Abstract

Holomorphic extension of the Ackermann function is suggested. Algorithms of evaluation of tetration and pentation are discussed and illustrated with explicit plots and complex maps.

DOI 10.11648/j.acm.20140306.14
Published in Applied and Computational Mathematics (Volume 3, Issue 6, December 2014)
Page(s) 307-314
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Ackermann Function, Superfunction, Tetration, Pentationx

References
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Author Information
  • Institute for Laser Science, University of Electro-Communications, 1-5-1 Chofugaoka, Chofushi, Tokyo, 182-8585, Japan

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    Dmitrii Kouznetsov. (2014). Evaluation of Holomorphic Ackermanns. Applied and Computational Mathematics, 3(6), 307-314. https://doi.org/10.11648/j.acm.20140306.14

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    Dmitrii Kouznetsov. Evaluation of Holomorphic Ackermanns. Appl. Comput. Math. 2014, 3(6), 307-314. doi: 10.11648/j.acm.20140306.14

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    Dmitrii Kouznetsov. Evaluation of Holomorphic Ackermanns. Appl Comput Math. 2014;3(6):307-314. doi: 10.11648/j.acm.20140306.14

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  • @article{10.11648/j.acm.20140306.14,
      author = {Dmitrii Kouznetsov},
      title = {Evaluation of Holomorphic Ackermanns},
      journal = {Applied and Computational Mathematics},
      volume = {3},
      number = {6},
      pages = {307-314},
      doi = {10.11648/j.acm.20140306.14},
      url = {https://doi.org/10.11648/j.acm.20140306.14},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.acm.20140306.14},
      abstract = {Holomorphic extension of the Ackermann function is suggested. Algorithms of evaluation of tetration and pentation are discussed and illustrated with explicit plots and complex maps.},
     year = {2014}
    }
    

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    T1  - Evaluation of Holomorphic Ackermanns
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    JO  - Applied and Computational Mathematics
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    PB  - Science Publishing Group
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    UR  - https://doi.org/10.11648/j.acm.20140306.14
    AB  - Holomorphic extension of the Ackermann function is suggested. Algorithms of evaluation of tetration and pentation are discussed and illustrated with explicit plots and complex maps.
    VL  - 3
    IS  - 6
    ER  - 

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