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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

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Polynomial type Padé approximants
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by Géza Németh and Magda Zimányi PDF
Math. Comp. 38 (1982), 553-565 Request permission

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.
References
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Math. Comp. 38 (1982), 553-565
  • MSC: Primary 41A21; Secondary 33A15, 41A20
  • DOI: https://doi.org/10.1090/S0025-5718-1982-0645671-7
  • MathSciNet review: 645671