International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 4, Pages 641-652
doi:10.1155/S0161171285000709

On convergence of (μ,ν)-sequences of unisolvent rational approximants to meromorphic functions in Cn

C.H. Lutterodt

Department of Mathematics, Howard University, Washington, D.C. 20059, USA

Abstract

A generalization of the classical Montessus de Ballore theorem in n and some related theorems are discussed. Non-Montessus type of convergence in 2n dimensional Lebesgue measure is presented linking it to a result of Gonĉar.