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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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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