Asymptotics of multipoint Hermite-Pad, approximants of the first type for two beta functions

作者：Kandayan A A^*; Sorokin V N

来源：Mathematical Notes, 2017, 101(5-6): 984-993.

DOI：10.1134/S000143461705025X

• beta function
• Hermite-Pade approximant
• saddle-point method
• Riemann surface
• equilibrium potential

The asymptotic behavior of the Hermite-Pad, approximants of the first type for two beta functions are studied. The results are expressed in terms of equilibrium problems of logarithmic potential theory and in terms of meromorphic functions on Riemann surfaces.

• 出版日期2017-5