JIPAM

Some New Inequalities for Gamma and Polygamma Functions  
 
  Authors: Necdet Batir,  
  Keywords: Digamma function, psi function, polygamma function, gamma function, inequalities, Euler's constant and completely monotonicity.  
  Date Received: 05/05/05  
  Date Accepted: 08/09/05  
  Subject Codes:

Primary: 33B15; Secondary: 26D07.

  
  Editors: Andrea Laforgia,  
 
  Abstract:

In this paper we derive some new inequalities involving the gamma function $ Gamma $, polygamma functions $ psi = {Gamma }^{prime}/ Gamma $ and $ { psi }^{prime}$. We also obtained two new sequences converging to Euler-Mascheroni constant $ gamma$ very quickly.;


This article was printed from JIPAM
http://jipam.vu.edu.au

The URL for this article is:
http://jipam.vu.edu.au/article.php?sid=577