標(biāo)題: Titlebook: Computer Algebra in Quantum Field Theory; Integration, Summati Carsten Schneider,Johannes Blümlein Book 2013 Springer-Verlag Wien 2013 Diff [打印本頁] 作者: 小客車 時(shí)間: 2025-3-21 18:20
書目名稱Computer Algebra in Quantum Field Theory影響因子(影響力)
書目名稱Computer Algebra in Quantum Field Theory影響因子(影響力)學(xué)科排名
書目名稱Computer Algebra in Quantum Field Theory網(wǎng)絡(luò)公開度
書目名稱Computer Algebra in Quantum Field Theory網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Computer Algebra in Quantum Field Theory被引頻次
書目名稱Computer Algebra in Quantum Field Theory被引頻次學(xué)科排名
書目名稱Computer Algebra in Quantum Field Theory年度引用
書目名稱Computer Algebra in Quantum Field Theory年度引用學(xué)科排名
書目名稱Computer Algebra in Quantum Field Theory讀者反饋
書目名稱Computer Algebra in Quantum Field Theory讀者反饋學(xué)科排名
作者: 捏造 時(shí)間: 2025-3-21 20:52 作者: GROVE 時(shí)間: 2025-3-22 03:10
L. A. Biryukova,V. B. Kudryavtsevc number identities extending those from Paule and Schneider, 2003. In addition, the newly developed package . is introduced that combines the presented tools. In this way, large scale summation problems for the evaluation of Feynman diagrams in QCD (Quantum ChromoDynamics) can be solved completely automatically.作者: 產(chǎn)生 時(shí)間: 2025-3-22 08:34
Book 2013 presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from interdisciplinary fields: mathematics, computer science and t作者: 前奏曲 時(shí)間: 2025-3-22 12:18 作者: 因無茶而冷淡 時(shí)間: 2025-3-22 14:49
The Process of Deep Systems Analysis, three-term recurrence relations for each of these expectation values are derived together with some transformation formulas for the corresponding generalized hypergeometric series. In addition, the virial recurrence relations for these integrals are also found and proved algorithmically.作者: 因無茶而冷淡 時(shí)間: 2025-3-22 20:04 作者: TAIN 時(shí)間: 2025-3-22 21:58
On the Control of Cardiac Rhythmlogarithms are reviewed in the second part of these lectures. The final part of these lectures is devoted to Feynman integrals, which cannot be expressed in terms of multiple polylogarithms. Methods from algebraic geometry provide tools to tackle these integrals.作者: 發(fā)怨言 時(shí)間: 2025-3-23 03:35
,Relativistic Coulomb Integrals and Zeilberger’s Holonomic Systems Approach. I,, three-term recurrence relations for each of these expectation values are derived together with some transformation formulas for the corresponding generalized hypergeometric series. In addition, the virial recurrence relations for these integrals are also found and proved algorithmically.作者: VEST 時(shí)間: 2025-3-23 06:10
,Generalization of Risch’s Algorithm to Special Functions,nd to find identities for special functions given by parameter integrals. The aim of this presentation is twofold: to introduce the reader to some basic ideas of differential algebra in the context of integration and to raise awareness in the physics community of computer algebra algorithms for indefinite and definite integration.作者: 鎮(zhèn)壓 時(shí)間: 2025-3-23 12:26 作者: MANIA 時(shí)間: 2025-3-23 17:52 作者: packet 時(shí)間: 2025-3-23 18:35
Simplifying Multiple Sums in Difference Fields,c number identities extending those from Paule and Schneider, 2003. In addition, the newly developed package . is introduced that combines the presented tools. In this way, large scale summation problems for the evaluation of Feynman diagrams in QCD (Quantum ChromoDynamics) can be solved completely automatically.作者: Albumin 時(shí)間: 2025-3-23 23:25
Kyoichi Kijima,Junichi Iijima,Bumpei Nakanol weights. To all these quantities iterated integrals and special numbers are associated. We also discuss the analytic continuation of nested sums of different kind to complex values of the external summation bound ..作者: 樹上結(jié)蜜糖 時(shí)間: 2025-3-24 06:16
Capturing Knowledge of the Systemw the Hopf algebra of polynomials carries a refined renormalization group property, implying its coarser form on the level of correlation functions. Application to scalar quantum field theory reveals the scaling behaviour of individual Feynman graphs.作者: defibrillator 時(shí)間: 2025-3-24 06:58
Harmonic Sums, Polylogarithms,Special Numbers, and Their Generalizations,l weights. To all these quantities iterated integrals and special numbers are associated. We also discuss the analytic continuation of nested sums of different kind to complex values of the external summation bound ..作者: 知道 時(shí)間: 2025-3-24 12:39 作者: Amenable 時(shí)間: 2025-3-24 16:19 作者: anticipate 時(shí)間: 2025-3-24 20:41 作者: Forehead-Lift 時(shí)間: 2025-3-24 23:12 作者: 獨(dú)特性 時(shí)間: 2025-3-25 03:46 作者: 松果 時(shí)間: 2025-3-25 08:00 作者: Small-Intestine 時(shí)間: 2025-3-25 13:09
Kyoichi Kijima,Junichi Iijima,Bumpei Nakanoons. These identities appear in the famous Handbook of Mathematical Functions, as well as in its successor, the DLMF, but their proofs were lost. We use generating functions and symbolic summation techniques to produce new proofs for them.作者: 歹徒 時(shí)間: 2025-3-25 16:44 作者: Conducive 時(shí)間: 2025-3-25 20:54 作者: Handedness 時(shí)間: 2025-3-26 03:29
https://doi.org/10.1007/978-3-030-93482-8tical point of view; for this purpose its application to several problems is exemplified. On the other hand, this chapter has the flavour of a survey article: the developments in this area during the last two decades are sketched and a selection of references is compiled in order to highlight the im作者: 冰雹 時(shí)間: 2025-3-26 06:27
Capturing Knowledge of the Systemhe Hopf algebraic framework, first summarizing and recovering known results in this setting. Then we give a direct combinatorial description of renormalized amplitudes in terms of Mellin transform coefficients, featuring the universal property of rooted trees . .. In particular, a special class of a作者: FLAX 時(shí)間: 2025-3-26 09:46 作者: tolerance 時(shí)間: 2025-3-26 16:38
https://doi.org/10.1007/978-3-030-93482-8oefficients, and a definite proper-hypergeometric sum satisfies a linear recurrence with polynomial coefficients. Conversely, d’Alembertian solutions of linear recurrences can be expressed as nested indefinite sums with hypergeometric summands. We sketch the simplest algorithms for finding polynomia作者: Vulnerable 時(shí)間: 2025-3-26 17:49
Systems Simulation in Agriculture The algorithms discussed are suited for both indefinite and definite integration. They can also be used to compute linear relations among integrals and to find identities for special functions given by parameter integrals. The aim of this presentation is twofold: to introduce the reader to some bas作者: 古董 時(shí)間: 2025-3-27 00:29
L. A. Biryukova,V. B. Kudryavtsevblems are rephrased in terms of difference fields, how the problems are solved there, and how the derived results in the given difference field can be reinterpreted as solutions of the input problem. The algorithms are illustrated with the Mathematica package . by discovering and proving new harmoni作者: 財(cái)產(chǎn) 時(shí)間: 2025-3-27 01:55
On the Control of Cardiac Rhythm evaluation of Feynman integrals. The most prominent class of functions is given by multiple polylogarithms. The algebraic properties of multiple polylogarithms are reviewed in the second part of these lectures. The final part of these lectures is devoted to Feynman integrals, which cannot be expres作者: Osteons 時(shí)間: 2025-3-27 07:17 作者: 是突襲 時(shí)間: 2025-3-27 10:37
Computer-Assisted Proofs of Some Identities for Bessel Functions of Fractional Order,ons. These identities appear in the famous Handbook of Mathematical Functions, as well as in its successor, the DLMF, but their proofs were lost. We use generating functions and symbolic summation techniques to produce new proofs for them.作者: NEX 時(shí)間: 2025-3-27 13:50 作者: Decongestant 時(shí)間: 2025-3-27 20:46 作者: ectropion 時(shí)間: 2025-3-27 23:30 作者: 敵手 時(shí)間: 2025-3-28 05:22 作者: 出來 時(shí)間: 2025-3-28 08:10 作者: 膽大 時(shí)間: 2025-3-28 12:07 作者: 使高興 時(shí)間: 2025-3-28 16:26
https://doi.org/10.1007/978-3-030-93482-8This paper is a short introduction to the generalized hypergeometric functions, with some theory, examples and notes on the implementation in the computer algebra system . .. (. is a registered trademark of Wolfram Research, Inc.)作者: 得罪 時(shí)間: 2025-3-28 20:43 作者: champaign 時(shí)間: 2025-3-28 23:22
A Note on Deterministic Linear LanguagesI describe the main new features of . version 4.0. They include factorization, polynomial arithmetic, new special functions, systems independent. sav files, a complete ParForm, open source code and a forum for user communication. I also mention a completely new feature for code simplification.作者: 性行為放縱者 時(shí)間: 2025-3-29 03:50
Orthogonal Polynomials,This chapter gives a short introduction to orthogonal polynomials, both the general theory and some special classes. It ends with some remarks about the usage of computer algebra for this theory.作者: inquisitive 時(shí)間: 2025-3-29 11:15
Hypergeometric Functions in ,, ,This paper is a short introduction to the generalized hypergeometric functions, with some theory, examples and notes on the implementation in the computer algebra system . .. (. is a registered trademark of Wolfram Research, Inc.)作者: Cubicle 時(shí)間: 2025-3-29 13:50
Multiple Hypergeometric Series: Appell Series and Beyond,This survey article provides a small collection of basic material on multiple hypergeometric series of Appell-type and of more general series of related type.作者: entail 時(shí)間: 2025-3-29 17:11
Potential of FORM 4.0,I describe the main new features of . version 4.0. They include factorization, polynomial arithmetic, new special functions, systems independent. sav files, a complete ParForm, open source code and a forum for user communication. I also mention a completely new feature for code simplification.作者: 使痛苦 時(shí)間: 2025-3-29 22:25
Carsten Schneider,Johannes BlümleinCombines techniques methods from special functions and computer algebra applied to quantum field theory.Contains survey articles written by mathematicians and physicists.Describes algorithms and techn作者: angiography 時(shí)間: 2025-3-30 01:35 作者: Chronic 時(shí)間: 2025-3-30 05:19 作者: Recess 時(shí)間: 2025-3-30 11:06 作者: growth-factor 時(shí)間: 2025-3-30 15:03
