天体物理反应率理论中的数学方法评述
Review of Mathematical Techniques Applicable in Astrophysical Reaction Rate Theory
摘要：
综述了非共振、非共振贫化、非共振截止、非共振screened和共振热核反应速率积分的统计分析方法。该技术是基于统计分布理论和Meijer的G-函数和Fox的H-函数的理论。Meijer G函数在Mathematica中的实现为热核反应速率积分的解析处理和数值计算提供了一个新的工具。最近的结果在天体物理学文献中有关使用分析热核反应率被纳入。
英文摘要：
An overview is presented on statistical techniques for the analytic evaluation of integrals for non-resonant, non-resonant depleted, non-resonant cut-off, non-resonant sccreened, and resonant thermonuclear reaction rates. The techniques are based on statistical distribution theory and the theory of Meijer's G-function and Fox's H-function. The implementation of Meijer's G-function in Mathematica constituts an additional utility for analytic manipulations and numerical computation of thermonuclear reaction rate integrals. Recent results in the astrophysical literature related to the use of analytic thermonuclear reaction rates are incorporated.
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