43 citations · 178 across the 13 of their papers we have counts for
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math-ph2009★ 10 cited
Two dimensional symmetric and antisymmetric generalizations of sine functions
Jiří Hrivnák, Lenka Motlochová, Jiří Patera
Properties of 2-dimensional generalizations of sine functions that are symmetric or antisymmetric with respect to permutation of their two variables are described. It is shown that…
math-ph2009★ 12 cited
Two-dimensional symmetric and antisymmetric generalizations of exponential and cosine functions
Jiří Hrivnák, Jiří Patera
Properties of the four families of recently introduced special functions of two real variables, denoted here by , and , are studied. The superscripts and …
math-ph2009★ 10 cited
Branching rules for the Weyl group orbits of the Lie algebra A(n)
M. Larouche, M. Nesterenko, J. Patera
The orbits of Weyl groups W(A(n)) of simple A(n) type Lie algebras are reduced to the union of orbits of the Weyl groups of maximal reductive subalgebras of A(n). Matrices transfor…