Jacobsthal Polynomial
The Jacobsthal polynomials are the 
-polynomial obtained by setting 
and 
in the Lucas polynomial sequence. The first few Jacobsthal polynomials are
Jacobsthal polynomials satisfy
 |
(6)
|
where 
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.
