On generalized eighth order mock theta functions
    
    
  
  
  
      
      
      
        
Ural mathematical journal, Tome 6 (2020) no. 1, pp. 137-146
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			In this paper we have generalized eighth order mock theta functions, recently introduced by Gordon and MacIntosh involving four independent variables. The idea of generalizing was to have four extra parameters, which on specializing give known functions and thus these results hold for those known functions. We have represented these generalized functions as $q$-integral. Thus on specializing we have the classical mock theta functions represented as $q$-integral. The same is true for the multibasic expansion given.
			
            
            
            
          
        
      
                  
                    
                    
                    
                        
Keywords: 
$q$-Hypergeometric series, Mock theta functions, Continued fractions, $q$-Integrals.
                    
                    
                    
                  
                
                
                @article{UMJ_2020_6_1_a10,
     author = {Pramod Kumar Rawat},
     title = {On generalized eighth order mock theta functions},
     journal = {Ural mathematical journal},
     pages = {137--146},
     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UMJ_2020_6_1_a10/}
}
                      
                      
                    Pramod Kumar Rawat. On generalized eighth order mock theta functions. Ural mathematical journal, Tome 6 (2020) no. 1, pp. 137-146. http://geodesic.mathdoc.fr/item/UMJ_2020_6_1_a10/