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Mathematics of Computation
Article . 1982 . Peer-reviewed
Data sources: Crossref
Mathematics of Computation
Article . 1982 . Peer-reviewed
Data sources: Crossref
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Polynomial Type Pade Approximants

Polynomial type Padé approximants
Authors: Nemeth, Geza; Zimanyi, Magda;

Polynomial Type Pade Approximants

Abstract

Some results are established giving conditions on f ( x ) f(x) so that its main diagonal Padé approximation R n ( x ) {R_n}(x) is of the form P n ( x ) / P n ( − x ) {P_n}(x)/{P_n}( - x) , where P n ( x ) {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.

Keywords

Symbolic computation and algebraic computation, Pade approximants, Approximation by rational functions, reduce 2, special functions, gamma function, symbolic computing, formac, Pade approximation, Padé approximation, Gamma, beta and polygamma functions, Software, source code, etc. for problems pertaining to special functions

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
bronze