Search results for "Transcendental function"

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A walk on sunset boulevard

2016

A walk on sunset boulevard can teach us about transcendental functions associated to Feynman diagrams. On this guided tour we will see multiple polylogarithms, differential equations and elliptic curves. A highlight of the tour will be the generalisation of the polylogarithms to the elliptic setting and the all-order solution for the sunset integral in the equal mass case.

High Energy Physics - TheoryTranscendental functionDifferential equationMathematicsofComputing_NUMERICALANALYSISFOS: Physical sciencesFeynman graphMathematical Physics (math-ph)SunsetLoop integralAlgebraHigh Energy Physics - Phenomenologysymbols.namesakeElliptic curveHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONsymbolsFeynman diagramBoulevardComputer Science::Data Structures and AlgorithmsMathematical PhysicsMathematicsMathematicsofComputing_DISCRETEMATHEMATICS

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PEPhysical Sciences and Engineering
- PE2Fundamental Constituents of Matter
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  - PE11_12Semi-conducting and magnetic materials engineering
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LSLife Sciences
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- LS2Integrative Biology: from Genes and Genomes to Systems
  - LS2_1Genetics
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  - LS2_16Innovative methods and modelling in integrative biology
  - LS2_13Systems biology
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- LS4Physiology in Health, Disease and Ageing
  - LS4_1Organ and tissue physiology and pathophysiology
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  - LS4_3Physiology of ageing
  - LS4_2Comparative physiology
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- LS3Cell Biology, Development, Stem Cells and Regeneration
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  - LS3_1Cell cycle, cell division and growth
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- LS5Neuroscience and Disorders of the Nervous System
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  - LS9_1Bioengineering for synthetic and chemical biology
SHSocial Sciences and Humanities
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- SH6The Study of the Human Past
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  - SH6_11Global, transnational, and comparative history
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- SH5Texts and Concepts
  - SH5_4Philology; text and image studies
  - SH5_1Classics, ancient literature
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  - SH5_3Book studies
  - SH5_6Philosophy of mind, philosophy of language
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  - SH5_11Digital humanities; digital approaches to literary studies and philosophy
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- SH7Human Mobility, Environment, and Space
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- SH8Studies of Cultures and Arts
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  - SH8_9Digital approaches to anthropology, cultural studies and art