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NESTING POLYNOMIALS IN INFINITE RADICALS

  • Humphries, Peter J.
  • Published : 2007.05.31

Abstract

We consider infinite nested radicals in which the arguments are positive polynomial sequences. It is shown that the evaluation of such a nesting is always finite, and we prove necessary and sufficient conditions for the evaluation to be a finite polynomial.

Keywords

infinite radical;nested radical

References

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  2. M. McGuffin and B. Wong, The Museum of Infinite Nested Radicals, http://www.dgp.toronto.edu/smjmcguff/math/nestedRadicals.html
  3. A. Herschfeld, On Infinite Radicals, Amer. Math. Monthly 42 (1935), no. 7, 419-429 https://doi.org/10.2307/2301294