The problem on the minimal type of entire functions of order $\rho\in(0,1)$ with positive zeroes of prescribed densities and step
    
    
  
  
  
      
      
      
        
Ufa mathematical journal, Tome 7 (2015) no. 4, pp. 140-148
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			We consider the problem on the least possible type of entire functions of order $\rho\in(0,1)$, whose zeroes lie on a ray and have prescribed densities and step. We prove the exactness of the estimate obtained previously by the author for the type of these functions. We provide a detailed justification for the construction of the extremal entire function in this problem.
			
            
            
            
          
        
      
                  
                    
                    
                    
                        
Keywords: 
type of an entire function, upper, lower densities and step of sequence of zeroes, extremal problem.
                    
                    
                    
                  
                
                
                @article{UFA_2015_7_4_a12,
     author = {O. V. Sherstyukova},
     title = {The problem on the minimal type of entire functions of order $\rho\in(0,1)$ with positive zeroes of prescribed densities and step},
     journal = {Ufa mathematical journal},
     pages = {140--148},
     publisher = {mathdoc},
     volume = {7},
     number = {4},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UFA_2015_7_4_a12/}
}
                      
                      
                    TY - JOUR AU - O. V. Sherstyukova TI - The problem on the minimal type of entire functions of order $\rho\in(0,1)$ with positive zeroes of prescribed densities and step JO - Ufa mathematical journal PY - 2015 SP - 140 EP - 148 VL - 7 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UFA_2015_7_4_a12/ LA - en ID - UFA_2015_7_4_a12 ER -
%0 Journal Article %A O. V. Sherstyukova %T The problem on the minimal type of entire functions of order $\rho\in(0,1)$ with positive zeroes of prescribed densities and step %J Ufa mathematical journal %D 2015 %P 140-148 %V 7 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/UFA_2015_7_4_a12/ %G en %F UFA_2015_7_4_a12
O. V. Sherstyukova. The problem on the minimal type of entire functions of order $\rho\in(0,1)$ with positive zeroes of prescribed densities and step. Ufa mathematical journal, Tome 7 (2015) no. 4, pp. 140-148. http://geodesic.mathdoc.fr/item/UFA_2015_7_4_a12/
