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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Polynomial type Padé approximants

Authors: Géza Németh and Magda Zimányi
Journal: Math. Comp. 38 (1982), 553-565
MSC: Primary 41A21; Secondary 33A15, 41A20
MathSciNet review: 645671
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Abstract: Some results are established giving conditions on $ f(x)$ so that its main diagonal Padé approximation $ {R_n}(x)$ is of the form $ {P_n}(x)/{P_n}( - x)$, where $ {P_n}(x)$ is a polynomial in x of degree n. A number of applications to special functions are presented. Numerical computations are given for the gamma function using the "bignum" arithmetical facilities of formula manipulation languages REDUCE2, FORMAC.

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Keywords: Rational approximation, Padé approximation, Padé approximants, special functions, gamma function, symbolic computing, REDUCE2, FORMAC
Article copyright: © Copyright 1982 American Mathematical Society