|   | 
           | 
            |        
         
         
          |   | 
          Volume 8, Issue 1, Article 25 | 
           | 
         
         
           | 
           | 
           | 
           | 
         
       |   | 
             Approximation of the Dilogarithm Function
 
  | 
          
          |   | 
            | 
          Authors:  | 
          Mehdi Hassani,  | 
            | 
         
         
          |   | 
            | 
          Keywords: 
             | 
          Special function, Dilogarithm function, Digamma function, Polygamma function, Polylogarithm function, Lerch zeta function. | 
            | 
         
         
          |   | 
            | 
          Date Received: 
             | 
          15/04/06 | 
            | 
         
         
          |   | 
            | 
          Date Accepted: 
             | 
          03/01/07 | 
            | 
         
         
          |   | 
            | 
          Subject Codes: | 
           
             33E20. 
           | 
            | 
          
          |   | 
            | 
          Editors:  | 
          Alexandru Lupas (1942-2007),   | 
            | 
         
         
          |   | 
         
         
           | 
           | 
           | 
           | 
           | 
         
         
          |   | 
            | 
          Abstract: | 
           
              In this short note, we approximate Dilogarithm function, defined by   . Letting    we show that for every  , the inequalities   
            
          
          |  
         
           | 
           | 
           | 
           | 
           | 
         
         
          |   | 
            | 
            | 
           
           |  
         |  
         
          |   | 
            | 
            | 
           | 
            | 
          
         
         
        |