P. B. BORWEIN, Quadratic Hermite-Pade approximation to the exponential function, Constr. Approx., 2(1986), pp. 291--302.  Home/Search   Document Not in Database   Summary   Related Articles   Check

.... (cf. for instance, 10, 11, 12] 4] 8] and in approximation theory (cf. the survey about publications in approximation theory in [2] and a survey about asymptotic results in [1] Detailed studies of quadratic approximants and especially the polynomials pn ; q n ; r n have been done in [3], 5] 6] 19] and [17] In [3] among other things, a 4 term recurrence relation together with very precise asymptotic estimates have been proved. While in [3] like in (1.1) only the diagonal case has been considered, the investigation has been extended to the non diagonal situation in [5] ....

.... 12] 4] 8] and in approximation theory (cf. the survey about publications in approximation theory in [2] and a survey about asymptotic results in [1] Detailed studies of quadratic approximants and especially the polynomials pn ; q n ; r n have been done in [3] 5] 6] 19] and [17] In [3], among other things, a 4 term recurrence relation together with very precise asymptotic estimates have been proved. While in [3] like in (1.1) only the diagonal case has been considered, the investigation has been extended to the non diagonal situation in [5] and [6] In [6] also very ....

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Borwein, P.B., Quadratic Hermite-Pade approximation to the exponential function, Constr. Approx., 2(1986), 291-302.

.... (cf. for instance, 11, 12, 13] 5] 9] and in approximation theory (cf. the survey about publications in approximation theory in [3] and a survey about asymptotic results in [1] Detailed studies of quadratic approximants and especially of the polynomials pn ; q n ; r n have been done in [4], 19] 6] and [7] In [4] among other things, a 4 term recurrence relation together with very precise asymptotic estimates have been proved. While in [4] like in (1.1) only the diagonal case has been considered, the investigation has been extended to the non diagonal situation in [6] and ....

.... 12, 13] 5] 9] and in approximation theory (cf. the survey about publications in approximation theory in [3] and a survey about asymptotic results in [1] Detailed studies of quadratic approximants and especially of the polynomials pn ; q n ; r n have been done in [4] 19] 6] and [7] In [4], among other things, a 4 term recurrence relation together with very precise asymptotic estimates have been proved. While in [4] like in (1.1) only the diagonal case has been considered, the investigation has been extended to the non diagonal situation in [6] and [7] In [7] also very ....

[Article contains additional citation context not shown here]

Borwein, P.B., Quadratic Hermite-Pade approximation to the exponential function, Constr. Approx., 2(1986), 291-302.

....Pade approximants q n1 ,n2 ,n3 (z) q n1 ,n2 ,n3 (z) 4p n1 ,n2 ,n3 (z)r n1 ,n2 ,n3 (z) 2r n1 ,n2 ,n3 (z) to e . The analytic theory of the Hermite Pade approximation to the exponential function was investigated, among others, by Mahler [26] Aptekarev [1] Chudnovsky [11] Borwein [10], Driver [16] Driver and Temme [17] and Wielonsky [41, 42] The paper [27] by Nuttall deserves a special mention since it contains many deep ideas and conjectures about the asymptotics of Hermite Pade approximants to general functions. Several surveys on the subject also exist, see De Bruin ....

P.B. Borwein, Quadratic Hermite--Pade approximation to the exponential function, Constr. Approx. 2 (1986), 291--302.

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P. B. BORWEIN, Quadratic Hermite-Pade approximation to the exponential function, Constr. Approx., 2(1986), pp. 291--302.

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Borwein, P.B. (1986). Quadratic Hermite--Pad'e approximation to the exponential function. Constr. Approx. 2, 291--302.

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