Solutions to the recurrence relation u n+1 = v n+1 + u n ⊗ v n in terms of Bell polynomials

AUTOR(ES)

Withers, Christopher S., Nadarajah, Saralees

FONTE

Comput. Appl. Math.

DATA DE PUBLICAÇÃO

2012

RESUMO

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 ≠ 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.

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