01229nam0-22003851i-450-99000550586020331620030829120000.0000550586USA01000550586(ALEPH)000550586USA0100055058620021010d2001-------|0itac50------baitaengUS|||| |||||Tax policy and the economyedited by James M. Poterba - Cambridge (Mass.) : The Mit Press, 2001XII200 p. ; 23 cm<<A>> National Bureau of Economic Research conference report152001<<A>> National Bureau of Economic Research conference report15POLITICA FISCALEFICambridge336.2Tasse e tassazione21POTERBA,James M.The Mit PressITSOL20120104990005505860203316DIP.TO SCIENZE ECONOMICHE - (SA)DS 300 336.2 POT10965 DISES300 336.2 POT10965 DISESBKDISES20121027USA01153220121027USA011613Tax policy and the economy233481UNISAUSA1143104942nam 22007695 450 991043758800332120200702000229.03-7091-1616-310.1007/978-3-7091-1616-6(CKB)3710000000024453(EBL)1466291(OCoLC)861183206(SSID)ssj0001049178(PQKBManifestationID)11678707(PQKBTitleCode)TC0001049178(PQKBWorkID)11019292(PQKB)11548284(DE-He213)978-3-7091-1616-6(MiAaPQ)EBC1466291(PPN)176125078(EXLCZ)99371000000002445320131005d2013 u| 0engur|n|---|||||txtccrComputer Algebra in Quantum Field Theory Integration, Summation and Special Functions /edited by Carsten Schneider, Johannes Blümlein1st ed. 2013.Vienna :Springer Vienna :Imprint: Springer,2013.1 online resource (422 p.)Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,0943-853XDescription based upon print version of record.3-7091-1615-5 Includes bibliographical references and index.Harmonic 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.The 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.Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,0943-853XParticles (Nuclear physics)Quantum field theoryMathematical physicsString modelsFunctions, SpecialComputer science—MathematicsElementary Particles, Quantum Field Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P23029Mathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Quantum Field Theories, String Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P19048Special Functionshttps://scigraph.springernature.com/ontologies/product-market-codes/M1221XSymbolic and Algebraic Manipulationhttps://scigraph.springernature.com/ontologies/product-market-codes/I17052Particles (Nuclear physics)Quantum field theory.Mathematical physics.String models.Functions, Special.Computer science—Mathematics.Elementary Particles, Quantum Field Theory.Mathematical Physics.Quantum Field Theories, String Theory.Special Functions.Symbolic and Algebraic Manipulation.530.1430285Schneider Carstenedthttp://id.loc.gov/vocabulary/relators/edtBlümlein Johannesedthttp://id.loc.gov/vocabulary/relators/edtBOOK9910437588003321Computer Algebra in Quantum Field Theory2509809UNINA