%0 Journal Article
%T Solutions to the recurrence relation u n+1 = v n+1 + u n   v n in terms of Bell polynomials
%A Christopher S. Withers
%A Saralees Nadarajah
%J Computational and Applied Mathematics
%D 2012
%I 
%R 10.1590/s1807-03022012000200002
%X Motivated by time series analysis, we consider the problem of solving the recurrence relation u n+1 = v n+1 + u n   v n for n ¡Ù 0 and u n, given the sequence v n. A solution is given as a Bell polynomial. When v n can be written as a weighted sum of nth powers, then the solution u n also takes this form. Mathematical subject classification: 33E99.
%K autoregressive processes
%K Bell polynomials
%K convolution
%K maximum
%U http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022012000200002