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- W2038528028 abstract "Let $$F={cal C}(x_1,x_2, cdots, x_ell, x_{ell+1}, cdots, x_m)$$ , where $$x_1,x_2, cdots, x_ell$$ are differential variables, and $$x_{ell+1}, cdots, x_m$$ are shift variables. We show that a hyperexponential function, which is algebraic over $$F$$ , is of form $$g(x_1,x_2, cdots, x_m) q(x_1,x_2, cdots, x_ell)^frac{1}{t}omega_{ell+1}^{x_{ell+1}} cdots omega_m^{x_m},$$ where $$g in F, q in {cal C}(x_1,x_2, cdots, x_ell), t in {cal Z}^+$$ and $$omega_{ell+1}, cdots, omega_m$$ are roots of unity. Furthermore, we present an algorithm for determining whether a hyperexponential function is algebraic over $$F$$ ." @default.
- W2038528028 created "2016-06-24" @default.
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- W2038528028 date "2006-09-01" @default.
- W2038528028 modified "2023-09-23" @default.
- W2038528028 title "Determining Whether a Multivariate Hyperexponential Function is Algebraic" @default.
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- W2038528028 doi "https://doi.org/10.1007/s11424-006-0352-5" @default.
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