3 papers
math.HO2025
A simple recursive representation of the Faulhaber series
Dietmar Pfeifer
We present a simple elementary recursive representation of the so called Faulhaber series for integer and , without reference to Bernoulli numbers or poly…
math.GM2024
A note on Cardano's formula
Dietmar Pfeifer
In this paper we show that Cardanos formula for the solution of cubic equations can be reduced to expressions involving only square roots if the real root is rational.
q-fin.RM2023
Ein neuer Ansatz zur Frequenzmodellierung im Versicherungswesen (A new Approach to frequency modeling in risk theory)
Dietmar Pfeifer
The collective risk model differentiates usually between claims frequencies (and their distribution) and claim sizes (and their distribution). For the claims frequencies typically…