Dr. Bertrand Teguia Tabuguia, Ph.D.

A mathematics lover!

Collaborative papers

• With James Worrell. On Rational Recursion for Holonomic Sequences.
  April 2024. Supplementary files.
  
• With Florian Luca. Concatenations of Terms of an Arithmetic Progression. Under preparation. A major revision of Explicit formulas for concatenations of arithmetic progressions. April 2024.
  
• With Ait El Manssour, Rida and Sattelberger, Anna-Laura. D-Algebraic Functions.  Illustrations, software, and examples. Submitted. January 2023.
• Teguia Tabuguia, Bertrand and Koepf, Wolfram. On the Representation of Non-Holonomic Univariate Power Series. Maple Trans. 2, 1. Article 14315, 18 pages.
  August 2022.
• Teguia Tabuguia, Bertrand and Koepf, Wolfram. FPS in action: an easy way to find explicit formulas for interlaced hypergeometric sequences. ACM Communication in Computer Algebra. Volume 56, Issue 2. June 2022, pp 46-50. Pdf.
  Poster presentation at ISSAC'22.
• Teguia Tabuguia, Bertrand and Koepf, Wolfram. Symbolic Conversion of Holonomic Functions to Hypergeometric-Type Power Series. Computer Algebra issue of the Journal of Programming and Computer Software. April 2022. Volume 48. Pages 125-146. Preprint version.
• Teguia Tabuguia, Bertrand and Koepf, Wolfram. Hypergeometric-Type Power Series. Extended Abstract for the 4th International Conference "Computer Algebra", Moscow.
  Pages 105-108. June 2021.
• Teguia Tabuguia, Bertrand and Koepf, Wolfram. Power Series Representations of Hypergeometric-Type Functions. In Corless R., Gerhard J., Kotsireas I. (eds): Maple in Mathematics Education and Research. MC 2020. Communications in Computer and Information Science, Springer.

Personal Papers

• Teguia Tabuguia, Bertrand. Computing with Hypergeometric-Type Terms.
  April 2024. Submitted.
• Teguia Tabuguia, Bertrand. Hypergeometric-Type Sequences. January 2024.
  To appear in the Journal of Symbolic Computation. Software and examples (GitHub).
  
• Teguia Tabuguia, Bertrand. Arithmetic of D-Algebraic Functions. MathRepo page.
  May 2023. Revised version, May 2023. To appear.
  
• Teguia Tabuguia, Bertrand. Operations for D-algebraic Functions. Visit this MathRepo repository. ACM Communications in Computer Algebra, Volume 57, Issue 2. Pages 51--56. June 2023.
  
• Teguia Tabuguia, Bertrand. Guessing with Quadratic Differential Equations.
  Software presentation at ISSAC'22. ACM Communications in Computer Algebra.
  July 2022. Pdf. Illustration.
• Teguia Tabuguia, Bertrand. A variant of van Hoeij's algorithm to compute hypergeometric term solutions of holonomic recurrence equations.
  J. Algorithm Comput. Volume 53, Issue 2. pp 1-32. December 30, 2021.
  Maxima code. Comparison.
• Teguia Tabuguia, Bertrand. An Algorithmic Random-Integer Generator based on the Distribution of Prime Numbers. Research Journal of Mathematics and Computer Science, 2019; 3:16. DOI: 10.28933/rjmcs-2019-06-1705.
• Teguia Tabuguia, Bertrand. On 'Best' Rational Approximations to $\pi$ and $\pi+e$. Preprints 2020, 2020050268. DOI: 10.20944/preprints202005.0268.v2. Maxima code. (General mathematics manipulations. Draft of an idea!). Soon to be improved (2024).