In this paper, inspired by recent articles of A. Szynal-Liana & I. Wloch and F. T. Aydin & S. Yu ̈ce (see [26] and [2]), we will introduce the h ̄-Jacobsthal quaternions and the h ̄-Jacobsthal–Lucas sequences and their associated quaternions. The new results that we have obtained extend most of those obtained in [26].
On h¯-Jacobsthal and h¯-Jacobsthal-Lucas sequences, and related quaternions
	
	
	
		
		
		
		
		
	
	
	
	
	
	
	
	
		
		
		
		
		
			
			
			
		
		
		
		
			
			
				
				
					
					
					
					
						
						
							
							
						
					
				
				
				
				
				
				
				
				
				
				
				
			
			
		
			
			
				
				
					
					
					
					
						
							
						
						
					
				
				
				
				
				
				
				
				
				
				
				
			
			
		
		
		
		
	
Vincenzi Giovanni
	
		
		
	
			2019
Abstract
In this paper, inspired by recent articles of A. Szynal-Liana & I. Wloch and F. T. Aydin & S. Yu ̈ce (see [26] and [2]), we will introduce the h ̄-Jacobsthal quaternions and the h ̄-Jacobsthal–Lucas sequences and their associated quaternions. The new results that we have obtained extend most of those obtained in [26].File in questo prodotto:
	
	
	
    
	
	
	
	
	
	
	
	
		
			
				
			
		
		
	
	
	
	
		
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