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math-ph2019★ 7 cited
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…
math-ph2018
Diagonals of rational functions, pullbacked 2F1 hypergeometric functions and modular forms (unabrigded version)
Y. Abdelaziz, S. Boukraa, C. Koutschan +1
We recall that diagonals of rational functions naturally occur in lattice statistical mechanics and enumerative combinatorics. We find that a seven-parameter rational function of t…