Pell Polynomial
المؤلف:
Horadam, A. F. and Mahon, J. M.
المصدر:
"Pell and Pell-Lucas Polynomials." Fib. Quart. 23,
الجزء والصفحة:
...
22-9-2019
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Pell Polynomial
The Pell polynomials 
are the 
-polynomials generated by the Lucas polynomial sequence using the generator 
, 
. This gives recursive equations for 
from 
, 
, and
 |
(1)
|
They are related to the Fibonacci polynomials by
 |
(2)
|
The first few are
(OEIS A115322).
REFERENCES:
Horadam, A. F. and Mahon, J. M. "Pell and Pell-Lucas Polynomials." Fib. Quart. 23, 7-20, 1985.
Mahon, J. M. M. A. (Honors) thesis, The University of New England. Armidale, Australia, 1984.
Sloane, N. J. A. Sequence A115322 in "The On-Line Encyclopedia of Integer Sequences."
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