Separate Convergence of General T-Fractions

W. J. Thron
1991 Proceedings of the American Mathematical Society  
This article is concerned with the separate convergence of the sequences of numerators {An(z)} and denominators {Bn(z)} of the approximants An(z)/(Bn(z) of the general T-fraction oo K 1 + G"z Convergence results for sequences {An(z)/Tn(z)} and {Bn(z)/rn(z)} , where the sequence {Tn(z)} is "sufficiently simple" are also derived.
doi:10.2307/2047862 fatcat:xrybnmrmfvdvphyziqwhv7w344