Existence and Uniqueness Property On a Generalized Ledin-Brousseau Sum
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=1n P(k)shk+r, where n is a positive integer, P(x) is a polynomial in C[x], h and r are integers, and (sk)kZ is a homogeneous linear recurrence sequence of degree m 2 satisfying certain constraints.
Fields of Study & Subjects
Advanced Differential Equations and Dynamical Systems
Advanced Mathematical Theories and Applications
Mathematical functions and polynomials
Publication details
- Journal / source
- CAUCHY Jurnal Matematika Murni dan Aplikasi
- Volume
- 11
- Issue
- 2
- Pages
- 1635–1656
- Publication date
- 18 July 2026
- Language
- EN