More Applications of a Partition Driven Symmetric Table

Daniel C. Fielder and Cecil O. Alford

A chapter in Applications of Fibonacci Numbers, 1996, pp 93-103 from Springer

Abstract: Abstract For many years mathematicians and scientists have been intrigued with the algebraic, symmetric, and partition properties associated with operations on polynomials such as a 0xn + a1xn-1 + a2xn-2 +…+ an-1x+an. A typical operation is the summation of the kth powers of the roots (without first finding the roots). In the early 1960’s, Fielder [7], [8] developed a tabular approach which generalizes such operations including the above. Known existing examples were systematized, and several additional examples were presented. Undoubtedly there are many more just begging to be discovered.

Keywords: Nonlinear Differential Equation; Proceeding IEEE; Wolfram Research; Partition Property; Differential Equation Solution (search for similar items in EconPapers)
Date: 1996
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DOI: 10.1007/978-94-009-0223-7_9

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