Books :

Gaspard  Bangerezako: An Introduction to q-nonuniform Difference Equations, Preprint, Miramare-Trieste 2011.

Gaspard  Bangerezako: An Introduction to q-Difference Equations, Preprint, Bujumbura 2007.

 

Equations Différentielles, syllabus Univ. du Burundi (Lecture notes, in French)

 

Papers:

1. G. Bangerezako, M Foupouagnigni: The Laguerre Freud equations for the recurence coefficients of the Laguerre-Hahn polynomials orthogonal on special non uniform lattices. 797767 Feb 17 15:27 mama-gaspard-0.pdf
2. Gaspard Bangerezako: Variational calculus on q-nonuniform lattices, Journal of Mathematical Analysis and Applications, 306 (2005) 161-179.175878 Feb 17 15:27 varcalqnu20[1].pdf
3. Gaspard Bangerezako: Variational q-calculus. J. Math. Anal. Appl. 289 (2004), no. 2, 650--665.162855 Aug 13 2003 qvar.pdf
4. G. Bangerezako, Hounkonnou, M. N.: The factorization method for the general second-order q-difference equation and the Laguerre-Hahn polynomials on the general q-lattice. J. Phys. A 36 (2003), no. 3, 765--773.141438 Aug 22 15:10 fmlh.pdf
5. G. Bangerezako, Hounkonnou, M. N.: The transformation of polynomial eigenfunctions of linear second-order q-difference operators: a special case of q-Jacobi polynomials. Contemporary problems in mathematical physics (Cotonou, 2001), 427--439, World Sci. Publishing, River Edge, NJ, 2002. 104846 Aug 5 2002 tjac.pdf
6. Gaspard Bangerezako: The fourth order difference equation for the Laguerre-Hahn polynomials orthogonal on special non-uniform lattices. Ramanujan J. 5 (2001), no. 2, 167--181.126918 Aug 5 2002 bangrama.pdf
7. G. Bangerezako,  Hounkonnou, M. N.: The transformation of polynomial eigenfunctions of linear second-order difference operators: a special case of Meixner polynomials. J. Phys. A 34 (2001), no. 28, 5653--5666.151644 Aug 5 2002 modmeixc.pdf
8. G. Bangerezako,  Magnus, A. P.: The factorization method for the semi-classical polynomials. Self-similar systems (Dubna, 1998), 295--300, Joint Inst. Nuclear Res., Dubna, 1999.
9. Gaspard Bangerezako : The factorization method for the Askey-Wilson polynomials. J. Comput. Appl. Math. 107 (1999), no. 2, 219--232. Awpfev02.ps    Awpfev02.pdf

10. Gaspard Bangerezako: Discrete Darboux transformation for discrete polynomials of hypergeometric type. J. Phys. A 31 (1998), no. 9, 2191--2196.145077 Aug 13 2003 discr.pdf

11. Gaspard  Bangerezako: Discrete factorization techniques for  orthogonal polynomials on lattices, PhD Thesis, UCL September 1999. 929979 Aug 13 2003 tzpjt99s.pdf

 

30 juin 2011