10th Anniversary of Axioms: Mathematical Analysis

Dear Colleagues,

Over the decade that has passed since its first issue, the journal Axioms has achieved a remarkable increase in the number of papers published, as well as a significant growth in citations. In order to mark this significant milestone, I am glad to lead this Special Issue entitled “10th Anniversary of Axioms: Mathematical Analysis". In this Special Issue, we aim to promote the study of special functions and, in particular, of orthogonal polynomials and their applications, not only in the traditional context of mathematical physics equations and in particular of integro-differential equations, but also in those of combinatorial theory, analytic number theory, and linear analysis. Many articles have appeared, even recently, on special sequences of numbers or polynomials in the context of analytic number theory. The analysis of fractional calculus through the concepts and formalism of some classes of orthogonal polynomials (in particular Hermite polynomials) is a further research area for this UIR, as well as the study of extensions to the case of the fractional index of polynomials of Chebyshev, also in the multidimensional case of the pseudo-Chebyshev and pseudo-Lucas, as well as the generalizations of the numbers of Bernoulli, Euler, Hahn, Bell, etc., also through expressions of polynomials in the form of determinants.

The relationships of multidimensional orthogonal polynomials (in particular Lucas polynomials) with linear algebra and the related applications to the study of linear dynamic systems are now well known and therefore allow expanding our knowledge in the disciplinary areas considered above.

Prof. Dr. Clemente Cesarano
Guest Editor

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