By Jakob Ablinger, Johannes Blümlein (auth.), Carsten Schneider, Johannes Blümlein (eds.)

The e-book makes a speciality of complicated laptop algebra equipment and precise services that experience impressive functions within the context of quantum box concept. It offers the state-of-the-art and new equipment for (infinite) a number of sums, a number of integrals, specifically Feynman integrals, distinction and differential equations within the layout of survey articles. The provided options emerge from interdisciplinary fields: arithmetic, laptop technological know-how and theoretical physics; the articles are written via mathematicians and physicists with the target that either teams can study from the opposite box, together with newest advancements. along with that, the gathering of articles additionally serves as an updated instruction manual of accessible algorithms/software which are primary or may also help within the fields of arithmetic, physics or different sciences.

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Phys. Commun. 174, 759–770 (2006). [math-ph/0508008] 101. : Sur Les Fonctions Hyp´erg´eometriques de Plusieurs Variables. : Fonctions Hyp´erg´eometriques; Polynˆomes d’Hermite. : Generalized Hypergeometric Series. Cambridge University Press, Cambridge (1935); Erd´elyi, A. ): Higher Transcendental Functions, Bateman Manuscript Project, vol. I. : Multiple Hypergeometric Functions and Applications. Ellis Horwood Limited, Chichester (1976); Handbook of Hypergeometric Integrals. : Generalized Hypergeometric Functions.

Nucl. tions to unpolarized deep-inelastic scattering at Q2 Phys. B 820, 417–482 (2009). 3563 [hep-ph]] 9. : Periods. IMHS/M/01/22. , Schmid, W. ) Mathematics Unlimited – 2001 and Beyond, pp. 771–808. Springer, Berlin (2011) 10. : Periods and Feynman integrals. J. Math. Phys. 50, 042302 (2009). 4863 [hep-th]] 11. : Sur les groupes des e´ quations lin´eaires. Acta Math. : M´emoirs sur la Th´eorie des Syst`emes Diff´erentielles Lin´eaires. : Algebras of iterated path integrals and fundamental groups.

Phys. A 25, 2585–2618 (2010). : (this volume) 7. : The third-order QCD corrections to deep-inelastic scattering by photon exchange. Nucl. Phys. B 724, 3–182 (2005). [arXiv:hep-ph/0504242] and refences therein 8. : Mellin moments of the O(˛s3 ) heavy flavor contribum2 and anomalous dimensions. Nucl. tions to unpolarized deep-inelastic scattering at Q2 Phys. B 820, 417–482 (2009). 3563 [hep-ph]] 9. : Periods. IMHS/M/01/22. , Schmid, W. ) Mathematics Unlimited – 2001 and Beyond, pp. 771–808. Springer, Berlin (2011) 10.