On the numerical evaluation of two infinite products
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- by G. Allasia and F. Bonardo PDF
- Math. Comp. 35 (1980), 917-931 Request permission
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
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Math. Comp. 35 (1980), 917-931
- MSC: Primary 65D20; Secondary 65A05
- DOI: https://doi.org/10.1090/S0025-5718-1980-0572865-X
- MathSciNet review: 572865