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Mohamed Abdullah Abdelkader

Associate Professor

Associate Professor

Sciences
2B27 - Statistics and Operations Research Department - Faculty of Science
publication
Journal Article
2025

Study of the degenerate Lévy-Meixner Appell polynomials via falling operators. Complex Analysis and Operator Theory

The goal of this paper is to present new results on generalized polynomial sequence known as degenerate Lévy-Meixner Appell polynomials  associated with the infinite-dimensional degenerate Lévy-Meixner distribution. Additionally, the connection that exists between brand-new polynomials, the degenerate falling operators and the Bell polynomials has been investigated. This paper presents novel properties of the kernels  P_{n, \lambda}in infinite dimensions, offering valuable insights, broadening the scope of our results.

Publisher Name
Complex Analysis and Operator Theory Journal
Volume Number
19
Issue Number
96
more of publication
publications

In this paper we present a general mathematical construction that allows us to define a parametric class of non-Gaussian processes, namely degenerate Brownian motion (dBm). This class, is made up…

by Mohamed Abdelkader and Mohamed Rhaima
2025
Published in:
Complex Analysis and Operator Theory
publications

The goal of this paper is to present new results on generalized polynomial sequence known as degenerate Lévy-Meixner Appell polynomials  associated with the infinite-dimensional degenerate Lévy-…

by Abdelkader, M. , Riahi, A., Ghoudi, H., Rhaima, M.
2025
Published in:
Complex Analysis and Operator Theory Journal
publications
by Mohamed Abdelkader
2023
Published in:
Mathematics Journal