Manuscript Topics

In this Special Issue we want to promote the study of the aspects of the numerical analysis in the context of the approximation theory and in particular in the topics of special functions and orthogonal polynomials and their applications, not only in the traditional field of physics equations mathematics and in particular of integro-differential equations, but also in those of theory combinatorics, analytical number theory and linear analysis. Many articles have appeared, too recently, on special sequences of numbers or polynomials in the context of the analytic theory of numbers. The analysis of this approach through the concepts and formalism of some classes of polynomials orthogonals (in particular Hermite polynomials) is a further area of research for this Special issue, as well as the study of extensions to the case of the fractional index of Chebyshev polynomials, also in the case multidimensional of the pseudo-Chebyshev and pseudo-Lucas, as well as the generalizations of the numbers of Bernoulli, Euler, Hahn, Bell, et al. also through expressions of polynomials in the form of determinants.

The relations of multidimensional orthogonal polynomials (especially Lucas polynomials) to linear algebra and the related applications to the study of linear dynamic systems are now well known and therefore allow to broaden knowledge in the disciplinary fields considered above.

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