Dr. Bertrand Teguia Tabuguia, Ph.D.

A mathematics lover!

Collaborative papers

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.

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. Arithmetic of D-algebraic functions. MathRepo page. To appear.

Teguia Tabuguia, Bertrand. Operations for D-algebraic functions. Visit this MathRepo repository. ACM Communication in Computer Algebra, 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. Explicit formulas for concatenations of arithmetic progressions. Submitted. January 2022.

Teguia Tabuguia, Bertrand. A variant of van Hoeij's algorithm to compute hypergeometric term solutions of linear recurrence equations. J. Algorithm Comput. 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!)