Together, the study of polynomial equations and associated recurrence relations has unveiled new avenues in combinatorial analysis, special functions, and even differential equations, thereby ...

Solving linear recurrence relations Extension A sequence is defined by the recurrence relation U n = m U n 1 + c Find the values of m and c if U 1 = 3, U 2 = 7 and U 3 = 10.

Brazilian Journal of Probability and Statistics, Vol. 35, No. 2 (2021), pp. 224-241 (18 pages) In this article we study a small random perturbation of a linear recurrence equation. If all the roots of ...

We establish the equivalence between the multivariate regular variation of a random vector and the univariate regular variation of all linear combinations of the components of such a vector. According ...