Abstract In this paper, by using the residue method of complex analysis, we obtain an explicit partial fraction decomposition for general rational function $\frac{x^{M}}{(x+1)^{\lambda}_{n}}$ x M ( + 1</...

The bifurcation sets of polynomial functions have been studied by many mathematicians from various points view. In particular, Némethi and Zaharia described them in terms Newton polytopes. this paper, we will show analogous results for rational functions.