Rational generalized Stieltjes functions
Authors : Ivan Kovalyov
Pages : 154-167
Doi:10.33205/cma.1116322
View : 10 | Download : 6
Publication Date : 2022-09-15
Article Type : Research
Abstract :The rational meromorphic functions on $\mathbb{C}\backslash\mathbb{R}$ are studied. We consider the some classes of one, as the generalized Nevanlinna $\mathbf{N}_{\kappa}$ and generalized Stieltjes $\mathbf{N}_{\kappa}^{k}$ classes. By Euclidean algorithm, we can find indices $\kappa$ and $k$, i.e. determine which class the function belongs to $\mathbf{N}_{\kappa}^{k}$.Keywords : rational function, generalized Nevanlinna function, generalized Stieltjes function