| Biography | |
|---|---|
 Dr. Rajae Ben Taher My Ismael University, Morocco |
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| 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 signi cant contributions to the eld of mathematics, particularly in the study of Recursive sequences (Generalized Fibonacci sequences), di erence 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 "Di erence 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 Di erence Equations and their Applications" and serves on the editorial board of the "International Journal of Contemporary Mathematical Sci- ences."
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