54 citations · 749 across the 44 of their papers we have counts for
44 papers
Symmetries of non-linear ODEs: lambda extensions of the Ising correlations
S. Boukraa, J. -M. Maillard
This paper provides several illustrations of the numerous remarkable properties of the lambda-extensions of the two-point correlation functions of the Ising model, sheding some lig…
The lambda extensions of the Ising correlation functions C(M, N)
S. Boukraa, J-M. Maillard
We revisit, with a pedagogical heuristic motivation, the lambda extension of the low-temperature row correlation functions C(M,N) of the two-dimensional Ising model. In particular,…
Factorization of Ising correlations C(M,N) for and M+N odd, , and their lambda extensions
S. Boukraa, C. Cosgrove, J. -M. Maillard +1
We study the factorizations of Ising low-temperature correlations C(M,N) for and M+N odd, , for both the cases where there are two factors, and wher…
The Ising correlation for
S. Boukraa, J-M. Maillard, B. M. McCoy
We present Painlev{é} VI sigma form equations for the general Ising low and high temperature two-point correlation functions with in the special case …
Diagonals of rational functions: from differential algebra to effective algebraic geometry (unabridged version)
Y. Abdelaziz, S. Boukraa, C. Koutschan +1
We show that the results we had obtained on diagonals of nine and ten parameters families of rational functions using creative telescoping, yielding modular forms expressed as pull…
Heun functions and diagonals of rational functions (unabridged version)
Y. Abdelaziz, S. Boukraa, C. Koutschan +1
We provide a set of diagonals of simple rational functions of three and four variables that are squares of Heun functions. These Heun functions obtained through creative telescopin…