journal6 ›› 2006, Vol. 27 ›› Issue (6): 22-23.

• Mathematics • Previous Articles     Next Articles

Two Asymptotic Formulas of Functions of  Sdfp(x) and Sdf*p(x)


  1. (1.School of Science,Xi'an Polytechnic University,Xi'an 710048,China;2.School of Statistics,Xi'an University of Finance and Economics,Xi'an 710061,China)
  • Online:2006-11-25 Published:2012-06-28

Abstract: To any real number x,the Smarandarche function is defined as Sdfp(x)=min{m∈N:px≤m!!},x∈(1,∞),and the antithesis as Sdfp(x)=max{m∈N:m!!≤px},x∈(1,∞).The asymptotic properties of these two functions are studied;thus,the asymptotic formula about their is obtained.

Key words: Smarandache function, asymptotic formulas, theory function

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