Numerical computations of infinite products

Adel K. Ibrahim; Medhat A. Rakha

doi:10.1016/j.amc.2003.12.027

Numerical computations of infinite products

Adel K. Ibrahim, Medhat A. Rakha^*

^*المؤلف المقابل لهذا العمل

Mathematics

نتاج البحث: المساهمة في مجلة › Article › مراجعة النظراء

ملخص

The infinite product π_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.

اللغة الأصلية	English
الصفحات (من إلى)	271-283
عدد الصفحات	13
دورية	Applied Mathematics and Computation
مستوى الصوت	161
رقم الإصدار	1
المعرِّفات الرقمية للأشياء	https://doi.org/10.1016/j.amc.2003.12.027
حالة النشر	Published - فبراير 4 2005

ASJC Scopus subject areas

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10.1016/j.amc.2003.12.027

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قم بذكر هذا

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abstract = "The infinite product πn=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.",

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AU - Ibrahim, Adel K.

AU - Rakha, Medhat A.

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AB - The infinite product πn=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.

KW - Infinite products

KW - Integral transformations

KW - Q-beta integrals

KW - Q-products

KW - Q-series

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VL - 161

SP - 271

EP - 283

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 1

ER -

Numerical computations of infinite products

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ASJC Scopus subject areas

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