carotid-bruit 发表于 2025-3-25 05:29:36

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homocysteine 发表于 2025-3-25 09:46:14

Einführung in die Kinderheilkundeen limit where some kinematic invariants and/or masses have certain scaling measured in powers of a given small parameter. Prescriptions of this strategy are formulated in a simple geometrical language and are illustrated through simple examples.

剥皮 发表于 2025-3-25 12:56:39

Johannes Blümlein,Carsten SchneiderPresents up-to-date reviews on modular forms and functions and their use in particle physics.Combines knowledge from mathematical physics and mathematics.Written by international authors

吹气 发表于 2025-3-25 16:00:31

Texts & Monographs in Symbolic Computationhttp://image.papertrans.cn/a/image/158329.jpg

抱负 发表于 2025-3-25 19:58:41

Exkurs: Algebraische Strukturen,The role of differential equations in the process of calculating Feynman integrals is reviewed. An example of a diagram is given for which the method of differential equations was introduced, the properties of the inverse-mass-expansion coefficients are shown, and modern methods based on differential equations are discussed.

ODIUM 发表于 2025-3-26 00:33:15

https://doi.org/10.1007/978-3-322-83837-7Computer algebra methods within the scope of the holonomic systems approach provide a versatile toolbox to integration problems in the context of Feynman diagrams. This is demonstrated with the aid of several benchmark problems, ranging from hypergeometric series evaluations to Bessel integrals of sunrise diagrams.

Cosmopolitan 发表于 2025-3-26 08:09:56

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甜得发腻 发表于 2025-3-26 11:50:53

Einführung in die KinderheilkundeA number of aspects of IBP reductions are discussed, indicating some of the major bottlenecks. Potential future developments are indicated, including some in the realm of mathematics and computer algebra.

愚笨 发表于 2025-3-26 13:38:20

Differential Equations and Feynman Integrals,The role of differential equations in the process of calculating Feynman integrals is reviewed. An example of a diagram is given for which the method of differential equations was introduced, the properties of the inverse-mass-expansion coefficients are shown, and modern methods based on differential equations are discussed.

雪上轻舟飞过 发表于 2025-3-26 16:59:32

Holonomic Anti-Differentiation and Feynman Amplitudes,Computer algebra methods within the scope of the holonomic systems approach provide a versatile toolbox to integration problems in the context of Feynman diagrams. This is demonstrated with the aid of several benchmark problems, ranging from hypergeometric series evaluations to Bessel integrals of sunrise diagrams.
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查看完整版本: Titlebook: Anti-Differentiation and the Calculation of Feynman Amplitudes; Johannes Blümlein,Carsten Schneider Book 2021 The Editor(s) (if applicable