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On the numerical evaluation of two infinite products

Authors: G. Allasia and F. Bonardo
Journal: Math. Comp. 35 (1980), 917-931
MSC: Primary 65D20; Secondary 65A05
MathSciNet review: 572865
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Abstract: A numerical evaluation of two infinite products of the type $ \Pi _{n = 0}^\infty (1 - a{q^n})$, which are important in some mathematical fields, is considered.

The numerical evaluation is based on a recursive formula of the type $ {x_{n + 1}} = {x_n}f({y_n}/{x_n})$, $ {y_{n + 1}} = {x_{n + 1}}g({y_n}/{x_n})$, and it is compared with a series expansion that was previously used for the computation.

Two tables of the infinite products are provided with twenty significant figures which check and extend existing data.

References [Enhancements On Off] (What's this?)

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Article copyright: © Copyright 1980 American Mathematical Society

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