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Engel Series and Cohen-Egyptian Fraction Expansions

Author

Listed:
  • Vichian Laohakosol
  • Tuangrat Chaichana
  • Jittinart Rattanamoong
  • Narakorn Rompurk Kanasri

Abstract

Two kinds of series representations, referred to as the Engel series and the Cohen-Egyptian fraction expansions, of elements in two different fields, namely, the real number and the discrete-valued non-archimedean fields are constructed. Both representations are shown to be identical in all cases except the case of real rational numbers.

Suggested Citation

  • Vichian Laohakosol & Tuangrat Chaichana & Jittinart Rattanamoong & Narakorn Rompurk Kanasri, 2009. "Engel Series and Cohen-Egyptian Fraction Expansions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2009, pages 1-15, December.
    • Handle: RePEc:hin:jijmms:865705
    DOI: 10.1155/2009/865705
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    Cited by:

    1. Patiwat Singthongla & Narakorn Rompurk Kanasri, 2014. "SEL Series Expansion and Generalized Model Construction for the Real Number System via Series of Rationals," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-8, May.

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