However, the

recursion formula which is obtained in this way is identical to the recursion already obtained by other means in [1].

1] (t) = t and the others satisfy the

Recursion Formula 3.

and the value

recursion formula of dynamic programming is

A Recursion Formula for the Probability Distribution of the Sum of k Dice

In this section we derive a recursion formula for the probability distribution of the sum of j dice, using the probability distribution of the sum of j-1 dice.

A

recursion formula (for factorizations where the rank of each factor is dictated) is indeed given by Reading in [Rea08], but the proof is very specific to the real case.

they present Panjer's

recursion formula for computing the distribution of certain random sums of random variables, a discussion of "stop-loss" premiums, and certain modern approximations for ruin probabilities and loss probabilities).

rh] derivative of each side we get the recursion formula

m]'s together with the recursion formula for calculating the derivatives.

6 recalls such a

recursion formula, allowing one to retrieve the map asymptotics constants [t.

Proof: This can be proved using

recursion formulas derived from the urn model.