Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (5): 1245-1253.

• Articles • Previous Articles     Next Articles

Approximation Formulas for the Landau Constants

  

  1. School of Mathematics and Informatics, Henan Polytechnic University, Henan Jiaozuo 454000
  • Received:2013-10-15 Revised:2014-05-07 Online:2014-10-25 Published:2014-10-25

Abstract:

The Landau constants  are defined for all integers n ≥0 by
Gn=∑k=0n 1/16k(2k k)2.
We establish new approximation formulas for the Landau constants. Relevant connections of the results presented here with those derived in earlier work are also pointed out.

Key words: Landau constants, Psi function, Approximation

CLC Number: 

  • 11Y60
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