In this presentation we focus on the cases N = 4 and N = 5. Taking into account its nested structure of the system, we propose parametrizations υ → υ*: dυ = g (ω i) dυ that separates each trajectory ...

In the more difficult case of elliptic contours, we can settle the question for certain special Jacobi weight distributions with parameters ±1/2, and we provide empirical results for more general ...

IN the preface to his "Elliptic Functions", written in 1892, Prof. A. G. Greenhill complained that, although the subject was then nearly seventy years old, it had not made its way into the ...

IT would be difficult to exaggerate the part which the study of elliptic functions has played in the pure mathematics of the present century. And this was to be expected; for whether we regard ...

In this paper, we discuss the relation between certain types of uniformly elliptic operators and their corresponding Green's functions. It is shown that the existence of a Green's function for a ...