Nikolay R. Ikonomov, Sergey P. Suetin
Published 2019-10-25Version 1
The existence of the limit distribution of the zeros of Hermite-Pad\'e polynomials of type II for a pair of functions forming a Nikishin system is proved using the scalar equilibrium problem posed on the two-sheeted Riemann surface. The relation of the results obtained here to some results of H. Stahl (1988) is discussed. Results of numerical experiments are presented. The results of the present paper and those obtained in the earlier paper of the second author [28], [32], [33] are shown to be in good accordance with both H. Stahl's results and with results of numerical experiments.
Comments: Bibliography: 35 items. Figures: 4 items
Some numerical results on the behavior of zeros of the Hermite-Padé polynomials
On the distribution of zeros of the Hermite-Pade polynomials for three algebraic functions $1,f,f^2$ and the global topology of the Stokes lines for some differential equations of the third order
On a new approach to the problem of the zero distribution of Hermite-Padé polynomials for a Nikishin system
![QR code for arXiv:1910.11614 [math.CV]](http://oss.arxitics.com/images/favicon.svg)