i] (p) the total expected cost of a process in N stages, beginning with the i state and applying a given policy P, the following

recurrence equation results:

Example applications of an algorithm to determine whether a three-term

recurrence equation has solutions in the Hahn class-implemented in the computer algebra system Maple-are given.

Keywords Generalized constructive set, summation,

recurrence equation, characteristic equation.

This generalized formalism is called Systems of Affine

Recurrence Equations (SAREs) over polyhedral domains (the domain of a

recurrence equation is the set of index points where it is defined).

By analyzing how the first three cycles originated, the basic equation is developed and then extended to a

recurrence equation for any cycle of selection (t).

Comparing this recurrence relation with the

recurrence equationIn Section 2, we present a simple

recurrence equation for [F.

Equation (4) is an exact

recurrence equation for inbreeding coefficient in a population with temporal variations in census size and selfing proportion.

As a final general remark, let us point out that a power series satisfies a linear differential equation if and only if its coefficients satisfy a linear

recurrence equation with polynomial coefficients.

With the help of table 1, we obtain the

recurrence equation giving the frequency of infection in the following generation:

t] is the frequency of genotype Aa in the hybrid population given by the

recurrence equation