The solution of a general polynomial recursive formula

MARCHI EZIO; MORILLAS PATRICIA

Ciencia Abierta

Fac. de Ciencias Físicas y Matemáticas, Universidad de Chile

Lugar: Santiago de Chile, Chile; Año: 2001 vol. 13 p. 1 - 10

0717-8948

In the subject of finite difference there are many problems. One of them is posed with the problems of recurrence where a general element in an infinite sequence of terms is explicitly given as a polynomial function of the previous terms in the sequence. In this work we solve explicitly one of the most general  polynomial recursive formula. This is rather strong and the result has an intrinsic interest from a theoretical point of view and beside it might be used for practical and numerical purpose.