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math-ph2025
On the diagonals of rational functions: the minimal number of variables (unabridged version)
S. Hassani, J-M. Maillard, N. Zenine
From some observations on the linear differential operators occurring in the Lattice Green function of the d-dimensional face centred and simple cubic lattices, and on the linear d…
math-ph2023
Plea for diagonals and telescopers of rational functions
S. Hassani, J-M. Maillard, N. Zenine
This paper is a plea for diagonals and telescopers of rational, or algebraic, functions using creative telescoping, in a computer algebra experimental mathematics learn-by-examples…
math-ph2014★ 12 cited
Lattice Green Functions: the seven-dimensional face-centred cubic lattice
Nadjah Zenine, Saoud Hassani, Jean-Marie Maillard
We present a recursive method to generate the expansion of the lattice Green function of the d-dimensional face-centred cubic (fcc) lattice. We produce a long series for d =7. Then…