JP Journal of Algebra, Number Theory and Applications
Volume 31, Issue 1, Pages 39 - 50
(November 2013)
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APPLICATION OF THE DUAL POLYNOMIAL METHOD TO FIBONACCI NON-UNIFORM POWER IDENTITIES
George A. Hisert
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Abstract: This paper shows how the dual polynomial method, which in prior articles was used solely with regard to uniform power identities, can also be used with regard to non-uniform power identities. In this connection, the definition of “Lucasian twin” is expanded. |
Keywords and phrases: Fibonacci, Lucas, identity, uniform power, primitive identity, congruent identity, generalized recurrence sequence, Melham’s conjecture, uniform power function, uniform power sum, uniform power identity, UPI, Lucasian twin, base sequence, Lucas sequence, Hyper-Lucas sequence, non-uniform power identity, Morgado’s identity, Cassini’s formula, Brisbane identities. |
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