Dr. Rajae Ben Taher
My Ismael University, Morocco
Title: Full and Truncated moment problems through recursive sequences
Abstract:
We are interested in studying the full and truncated moment problems, Notably
the closed link between the 1 dimentional truncated moment problem and Gen-
eralized Fibonacci sequence for the recursive sequence. Afterward, we extend the
idea to the real 2 dimentional moment problem by bound the bi-indexed Fibonacci
sequence. The analytic expression and the combinatorial formulas of Generalized
Fibonacci are used as tools to obtain both the combinatorial expression of the terms
moment matrix and its associated measure. Furthermore, we study also the moment
problem for the recursive sequence with periodic coefficientss. A linearization pro-
cess through the product of companion matricies allows us to generate subsequences
satisfying a linear recurrence relation, with constant coefficients. A relevant ques-
tion is whether there is link between the moment problem for a recursive sequence
of periodic coefficients of period p≥1, and the moment problem of its related p
recursive subsequences of constant coefficients. To answer this question, a detailed
study is conducted in the case when the period p = 2. New results related to their
moment problem are established and some open questions have been raised.
Biography:
Rajae Ben Taher is a distinguished mathematician and a full professor in the De-
partment of Mathematics at the Faculty of Sciences, My Ismail University in Meknes,
Morocco. She has made signicant contributions to the eld of mathematics, particularly
in the study of Recursive sequences (Generalized Fibonacci sequences), dierence equa-
tions, Moment Problems and linear algebra.
Dr. Ben Taher earned a Bachelor of Science in Mathematics in Morocco in 1987. She
then pursued higher studies and obtained a C.U.E.S in Mathematics-Physics from Mo-
hammed I University in Oujda in 1989. Continuing her passion for mathematics, she
received a License in Mathematics from Mohammed I University in Oujda in 1991, fol-
lowed by a DEA in Mathematics from Mohammed V University in Rabat in 1992. In
1994, she completed her Ph.D. at Mohammed V University, and in 2001, she obtained
her State Doctorate in Sciences.
Throughout her career, Dr. Ben Taher has actively participated in numerous confer-
ences, symposia, and seminars worldwide, presenting her research ndings and sharing
her expertise. Her contributions have been recognized at prestigious events .
Dr. Ben Taher has organized several conferences and meetings, including the series
"Dierence Equations, Fibonacci Sequences, and Applications" in Meknes, Morocco, in
2001, 2005, and 2009.
As a respected academic and mentor, Dr. Ben Taher has supervised several Ph.D.
students and is an active member of various mathematical associations and societies. She
chairs the "Research Group on Dierence Equations and their Applications" and serves
on the editorial board of the "International Journal of Contemporary Mathematical Sci-
ences."
Her research interests encompass Generalized Fibonacci sequences, dierence equa-
tions, linear algebra, and the study of full and truncated moment Problems. Her con-
tributions to these areas have been published in reputable journals such as Fibonacci
Quarterly, Linear and Multilinear Algebra, Applied Mathematics and Computation, Operators and Matrices Journal, and the Journal of Linear Algebra and its Applications.