E. B. SAFF AND R. S. VARGA, On the zeros and poles of Pade approximants to e III, Numer. Math., 30(1978), pp. 241--66. Home/Search Document Not in Database Summary Related Articles Check |
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Asymptotic Distributions of Zeros of Quadratic Hermite-Padé .. - Stahl (Correct)
....since now the zeros of the transformed polynomials have nite cluster points as n 1. This approach has already been used successfully by Szeg o in [20] for the study of the asymptotic distribution of zeros of Taylor polynomials associated with the exponential function, and by Sa and Varga [16] for the study of zeros and poles of Pad e approximants, again associated with the exponential function. Fig. 1.1. The zeros of the polynomials p 30 (stars) q 30 (boxes) r 30 (diamonds) and some of the zeros of the remainder term e30 (triangles) Notice that the axes in both directions have ....
Sa , E.B. and Varga, R.S.,On the zeros and poles of Pade approximants to e III, Numer. Math., 30(1978), 241-66.
Quadratic Hermite-Padé Polynomials Associated with the.. - Stahl (Correct)
....with the exponential function e . The investigation is based on a rescaling of the independent variable w. The rescaling method has already been used in an analogous way by G. Szeg o in [24] for the study of Taylor polynomials of the exponential function, and by E.B. Sa and R.S. Varga [18] for the study of Pad e approximants again associated with the exponential function. We start with basic de nitions and a short discussion of earlier research. 1.1. Hermite Pad e Polynomials. In case of the exponential function the (diagonal) quadratic Hermite Pad e polynomials (of type I) pn ; ....
....have nite cluster points as n 1. We have already earlier mentioned that the concept of rescaling has been introduced by Szeg o in [24] for the study of the asymptotic behavior of Taylor polynomials associated with the exponential function, and has also been used successfully by Sa and Varga in [18] for the study of zeros and poles of Pad e approximants, again associated with the exponential function. In the same spirit as in [24] and [18] we introduce as a new independent variable z : n = 1; 2; 1.4) for the study of the quadratic Hermite Pad e polynomials. Then the ....
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Sa , E.B. and Varga, R.S., On the zeros and poles of Pade approximants to e III, Numer. Math., 30 (1978), 241-66.
Asymptotics for Quadratic Hermite-Padé Polynomials.. - Stahl (2002) (Correct)
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E. B. SAFF AND R. S. VARGA, On the zeros and poles of Pade approximants to e III, Numer. Math., 30(1978), pp. 241--66.
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