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024 7 $a10.1007/978-3-7091-1616-6
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035   $a(EBL)1466291
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100   $a20131005d2013      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aComputer Algebra in Quantum Field Theory $eIntegration, Summation and Special Functions /$fedited by Carsten Schneider, Johannes Blümlein
205   $a1st ed. 2013.
210  1$aVienna :$cSpringer Vienna :$cImprint: Springer,$d2013.
215   $a1 online resource (422 p.)
225 1 $aTexts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,$x0943-853X
300   $aDescription based upon print version of record.
311   $a3-7091-1615-5 
320   $aIncludes bibliographical references and index.
327   $aHarmonic sums, polylogarithms, special numbers, and their generalizations -- Multiple Zeta values and modular forms in quantum field theory -- Computer-assisted proofs of some identities for Bessel functions of fractional order -- Conformal methods for massless Feynman integrals and large Nf methods -- The holonomic toolkit -- Orthogonal polynomials -- Creative telescoping for holonomic functions -- Renormalization and Mellin transforms -- Relativistic Coulomb integrals and Zeilberger's holonomic systems approach -- Hypergeometric functions in Mathematica -- Solving linear recurrence equations with polynomial coefficients -- Generalization of Risch's algorithms to special functions -- Multiple hypergeometric series -- Appell series and beyond -- Simplifying multiple sums in difference fields -- Potential of FORM 4.0 -- Feynman graphs.
330   $aThe book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from interdisciplinary fields: mathematics, computer science and theoretical physics; the articles are written by mathematicians and physicists with the goal that both groups can learn from the other field, including most recent developments. Besides that, the collection of articles also serves as an up-to-date handbook of available algorithms/software that are commonly used or might be useful in the fields of mathematics, physics or other sciences.
410  0$aTexts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,$x0943-853X
606   $aParticles (Nuclear physics)
606   $aQuantum field theory
606   $aMathematical physics
606   $aString models
606   $aFunctions, Special
606   $aComputer science?Mathematics
606   $aElementary Particles, Quantum Field Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P23029
606   $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000
606   $aQuantum Field Theories, String Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P19048
606   $aSpecial Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M1221X
606   $aSymbolic and Algebraic Manipulation$3https://scigraph.springernature.com/ontologies/product-market-codes/I17052
615  0$aParticles (Nuclear physics)
615  0$aQuantum field theory.
615  0$aMathematical physics.
615  0$aString models.
615  0$aFunctions, Special.
615  0$aComputer science?Mathematics.
615 14$aElementary Particles, Quantum Field Theory.
615 24$aMathematical Physics.
615 24$aQuantum Field Theories, String Theory.
615 24$aSpecial Functions.
615 24$aSymbolic and Algebraic Manipulation.
676   $a530.1430285
702   $aSchneider$b Carsten$4edt$4http://id.loc.gov/vocabulary/relators/edt
702   $aBlümlein$b Johannes$4edt$4http://id.loc.gov/vocabulary/relators/edt
906   $aBOOK
912   $a9910437588003321
996   $aComputer Algebra in Quantum Field Theory$92509809
997   $aUNINA