 
					
					
						Jacobsthal Polynomial					
				 
				
					
						 المؤلف:  
						Djordjevic, G. B.
						 المؤلف:  
						Djordjevic, G. B.					
					
						 المصدر:  
						"Jacobsthal Polynomials." Fib. Quart. 38
						 المصدر:  
						"Jacobsthal Polynomials." Fib. Quart. 38					
					
						 الجزء والصفحة:  
						...
						 الجزء والصفحة:  
						...					
					
					
						 19-9-2019
						19-9-2019
					
					
						 2509
						2509					
				 
				
				
				
				
				
				
				
				
				
			 
			
			
				
				Jacobsthal Polynomial

The Jacobsthal polynomials are the  -polynomial obtained by setting
-polynomial obtained by setting  and
 and  in the Lucas polynomial sequence. The first few Jacobsthal polynomials are
 in the Lucas polynomial sequence. The first few Jacobsthal polynomials are
Jacobsthal polynomials satisfy
	
		
			|  | (6) | 
	
where  is a Jacobsthal number.
 is a Jacobsthal number.
REFERENCES:
Djordjevic, G. B. "Jacobsthal Polynomials." Fib. Quart. 38, 239, 2000.
Filipponi, P. and Horadam, A. F. "Jacobsthal and Jacobsthal-Lucas Polynomials." Proc. Int. Conf. Fib. Numb. Appl., Vol. 8, p. 129, 1999.
Hoggatt, V. E. Jr. and Bicknell-Johnson, M. "Arrays for Jacobsthal and Fibonacci Polynomials." bf 16, 385, 1978.
Horadam, A. F. and Filipponi, P. "Fibonacci and Lucas Polynomials." Proc. Int. Conf. Fib. Numb. Appl., Vol. 5, p. 317, 1993.
Jacobsthal, P. "Fibonaccische Polynome und Kreisteilungsgleichungen." Sitzungsber. Berliner Math. Gesell. 17, 43-57, 1919-1920.
Swamy, M. N. S. "Jacobsthal Polynomials, A." Fib. Quart. 37, 141, 1999.
				
				
					
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