Simultaneous two-point Padé approximations of Markov functions (Q1177744)

By the potential theoretical method one studies the behaviour of the simultaneous Padé approximations of two functions of the type of Markov, one of which is holomorphic in the neighborhood of zero, and the other one in the neighborhood of \(\infty\). For special weights the Rodrigues formula is obtained and the asymptotic behaviour is represented in terms of algebraic functions of the third order.