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          |  | Volume 9, Issue 2, Article 51 |  |   
          |  |  |  |  |  |  | Inequalities on the Lambert $W$ Function and Hyperpower Function
 
 
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          |  |  | Authors: | Abdolhossein Hoorfar, Mehdi Hassani, |  |   
          |  |  | Keywords: | Lambert $W$ function, hyperpower function, special function, inequality. |  |   
          |  |  | Date Received: | 09/04/07 |  |   
          |  |  | Date Accepted: | 15/03/08 |  |   
          |  |  | Subject Codes: | 33E20, 26D07. |  |   
          |  |  | Editors: | Sever S. Dragomir, |  |   
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          |  |  | Abstract: |  In this note, we obtain inequalities for the Lambert  function  , defined by  for  . Also, we get upper and lower bounds for the hyperpower function  . |   
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