Existence and Uniqueness Property On a Generalized Ledin-Brousseau Sum

Ivan Hadinata, Muhamad Abdillah Ahen

Abstract


In this paper, we present the existence and uniqueness property of the Ledin-Brousseau sum involving a polynomial and a homogeneous linear recurrence sequence. This sum is of the form ∑k=1nP(k)shk+r, where n is a positive integer, P(x) is a polynomial in C[x], h and r are integers, and (sk)k∈Z is a homogeneous linear recurrence sequence of degree m ≥ 2 satisfying certain constraints.


Keywords


Ledin-Brousseau Sum; Linear Recurrence Sequence; Polynomial.

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References


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DOI: https://doi.org/10.18860/cauchy.v11i2.42495

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