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         Type:  Article
      
    
          A generating function for a class of generalized Bernoulli polynomials
         Abstract: 
First we derive a generating function and a Fourier expansion for a class of generalized Bernoulli polynomials. Then we derive formulas that allow certain Dirichlet series to be evaluated in terms of these generalized Bernoulli polynomials.
    
   
  First we derive a generating function and a Fourier expansion for a class of generalized Bernoulli polynomials. Then we derive formulas that allow certain Dirichlet series to be evaluated in terms of these generalized Bernoulli polynomials.
              Keywords:  Bernoulli polynomials; Dirichlet series; Fourier series
            
         
              MSC:  11M41 (11B68 11M06 11Y60)
            
         
         Journal: Ramanujan Journal
      
    
      ISSN:  1382-4090
      
     
         Year:  2009
        
      
        Volume:  19
      
     
        Number:  1
   
   
         Pages:  9--18
      
    Created:  2012-12-05 12:53:55
            Created:  2012-12-05 12:53:55
       Modified: 2014-02-12 16:06:50
            Modified: 2014-02-12 16:06:50
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