Numerical computations of infinite products

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摘要

The infinite product ∏n=0∞(1−aqn), plays a part in the theory of basic functions, similar to that of the Gamma function in the theory of ordinary hypergeometric functions, so it is pertinent to enquire how such products can be evaluated numerically. In this paper we will discuss the numerical evaluation of the infinite products using the method of gridded data interpolation.

论文关键词:Infinite products,q-products,q-series,q-beta integrals,Integral transformations

论文评审过程:Available online 31 January 2004.

论文官网地址:https://doi.org/10.1016/j.amc.2003.12.027