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SEL Series Expansion and Generalized Model Construction for the Real Number System via Series of Rationals

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  • Patiwat Singthongla
  • Narakorn Rompurk Kanasri

Abstract

We present an algorithm for constructing infinite series expansion for real numbers, which yields generalized versions of three famous series expansions, namely, Sylvester series, Engel series, and Lüroth series expansions. Using series of rationals, a generalized model for the real number system is also constructed.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jijmms:654319
    DOI: 10.1155/2014/654319
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    References listed on IDEAS

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    1. 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.
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