On a problem of infinite divisibility
    
    
  
  
  
      
      
      
        
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 33, Tome 515 (2022), pp. 156-161
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			Let $f(t)$ be a characteristic function. The question on infinite divisibility of $g_{2k}(t)=f^{(2k)}(t)/f^{(2k)}(0)$ is considered. There are given the condition for that function not to be infinite divisible. Some examples of infinite divisibility of $g_{2k}(t)$ are given.
			
            
            
            
          
        
      @article{ZNSL_2022_515_a9,
     author = {L. B. Klebanov},
     title = {On a problem of infinite divisibility},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {156--161},
     publisher = {mathdoc},
     volume = {515},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_515_a9/}
}
                      
                      
                    L. B. Klebanov. On a problem of infinite divisibility. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 33, Tome 515 (2022), pp. 156-161. http://geodesic.mathdoc.fr/item/ZNSL_2022_515_a9/