We deal with some polynomial sequences as Fibonacci, Pell, Lucas and Pell-Lucas sequences which are, in fact, obtained by imaginary homothetic
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The talk will consist in two parts. The first part will be an overview of SLEPc, the Scalable Library for Eigenvalue Problem Computations.
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A classical problem in collective risk theory is how to incorporate dividend payments to shareholders out of the free surplus of an insurance company. In this seminar we will give an overview of the field, describe recent developments on an intuitive level and will address the questions which...

The connection coefficients allow to express one sequence of polynomials in terms of other one. Given any two general orthogonal polynomial sequences through of their recurrence coefficients, we present a general recursive method to compute the connection coefficients, using formal manipulation...

Turning over some orthogonal polynomials sets which occur in the quadratic decompositions of almost symmetric orthogonal sequences. A characterization of such sequences is given.

Over the last 20 years, since the publication of Sloan’s paper, various approaches have been proposed for post-processing the Galerkin solution of multi-dimensional second kind Fredholm Integral equation. These methods include the iterated Galerkin method proposed by Sloan, the Kantorovich method...

In this conference we shall discuss the use of the singularity subtraction technique as a method to approximate eigenvectors and eigenvalues of compact integral operators defined through a weakly singular convolution kernel. We shall give a precise definition of weak singularity and explain why...