INVERSE STIELTJES ITERATES AND ERRORS OF PADE APPROXIMANTS IN THE WHOLE COMPLEX-PLANE

[摘要] The Stieltjes functions f and g, related by f(z) = f0(1 - zg(z))-1, are respectively developed in terminating continued C-fractions. Computing the last approximants of the two above C-fractions, we obtain, in the whole complex plane and for the whole Pade table, the exact relations between contiguous Pade approximants errors.

[发布日期] 1993-12-31

[效力级别]  Proceedings Paper

[关键词] PADE APPROXIMATION;STIELTJES SERIES;CONTINUED FRACTIONS