2009
DOI: 10.1007/978-3-642-02614-0_39
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A Knowledge Repository for Indefinite Integration Based on Transformation Rules

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Cited by 13 publications
(10 citation statements)
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“…The SOP which is given ( 23) can be solved by altering the bounds and solving the integral in MATHEMAT-ICA software using the particular integral rules provided in [26] as well as stripping constants out of the integral and identifying certain operations. The solution reduces in terms of the Lauricella hypergeometric function is represented as 𝐹 1 .…”
Section: 𝑑𝑧mentioning
confidence: 99%
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“…The SOP which is given ( 23) can be solved by altering the bounds and solving the integral in MATHEMAT-ICA software using the particular integral rules provided in [26] as well as stripping constants out of the integral and identifying certain operations. The solution reduces in terms of the Lauricella hypergeometric function is represented as 𝐹 1 .…”
Section: 𝑑𝑧mentioning
confidence: 99%
“…The solutions of integral ( 23) and ( 24) results in the SOP expressions depended upon the location of legitimate receiver from RIS. The SOP when 𝑅 is near to 𝑆 is given as (25), and when 𝑅 is far to 𝑆 is given as (26). where in (25), 𝐾 𝑒 is defined as Kummer's solution provided in [26] in which 𝑧 1 , 𝑧 2 , 𝑧 3 are Ξ“(2𝐿 βˆ’ 1), threshould SNR(πœ†) at 𝑅, and instantaneous SNR (𝛾) at 𝑅 respectively.…”
Section: 𝑑𝑧mentioning
confidence: 99%
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“…Rubi is a rule-based symbolic integrator that uses more than 6000 replacement rules [37]. It significantly outperforms Mathematica and Maple in terms of the quality of the integration.…”
Section: Rubimentioning
confidence: 99%
“…These tables may contain rules for virtually any special function, which makes such algorithms easily extensible in principle. This approach is recently being investigated systematically by Albert D. Rich and David J. Jeffrey [40], who point out several subtle issues related to efficiency.…”
Section: Symbolic Integrationmentioning
confidence: 99%