Asymptotic behavior of recursions via fixed point theory

In this paper we provide a formulation of initial value problems for (explicit and implicit) difference equations in terms of abstract equations in sequence spaces. They will be solved using appropriate fixed point theorems and we obtain quantitative attractivity properties.     

A new method in the study of Euler sums

A new method in the study of Euler sums is developed. A host of Euler sums, typically of the form , are expressed in closed form. Also obtained as a by-product, are some striking recursive identities involving several Dirichlet series including the well-known Riemann Zeta-function.      

Recursive evaluation of aggregate claims distributions

In this paper, we give a survey of recursive methods presented in the actuarial literature for exact and approximate evaluation of univariate and multivariate aggregate claims distributions. For the approximations, we present error bounds.