Fethi Bouzeffour is a mathematics professor at King Saud University specializing in advanced mathematical analysis with contributions to areas such as fractional calculus, special functions, and harmonic analysis. His research spans fractional integral and differential operators (including generalized and Dunkl-type fractional operators), orthogonal polynomials and q-calculus, and integral transforms like the generalized Fourier and Hartley transforms. He has also worked on oscillator algebras in mathematical physics, including q-oscillator and C_λ-extended oscillator algebras connected with d-orthogonal polynomials, and explored special functions associated with root systems . These interests tie together abstract analysis, algebraic structures, and applications in theoretical physics.
The aim of this paper is to prove Heisenberg-Pauli-Weyl inequality for a fractional power of the Dunkl transform on the real line for which there is an index law and a Plancherel…
This course deepens the foundations of analysis begun in Real Analysis I. The first part treats Riemann integration (definition via upper/lower sums, Darboux’s Theorem,…
This course is an introduction to real analysis. It develops the real number system from the completeness axiom and builds the core tools of limits, continuity, differentiation, and integration.…
This course provides a rigorous and practical introduction to core topics in analysis and applied mathematics. We begin with the definition of the limit of a sequence and fundamental properties of…