Found 22 Documents (Results 1–22)
A case study for \(\zeta (4)\). (English) Zbl 1499.11271
Bostan, Alin (ed.) et al., Transcendence in algebra, combinatorics, geometry and number theory. TRANS19 – transient transcendence in Transylvania, Brașov, Romania, May 13–17, 2019. Revised and extended contributions. Cham: Springer. Springer Proc. Math. Stat. 373, 421-435 (2021).
Term algebras, canonical representations and difference ring theory for symbolic summation. (English) Zbl 1484.81078
Bluemlein, Johannes (ed.) et al., Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. Texts Monogr. Symb. Comput., 423-485 (2021).
Hypergeometric functions and Feynman diagrams. (English) Zbl 1489.33010
Bluemlein, Johannes (ed.) et al., Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. Texts Monogr. Symb. Comput., 189-234 (2021).
Reviewer: Radosław Szmytkowski (Gdańsk)
Extensions of the AZ-algorithm and the package multiintegrate. (English) Zbl 1490.33010
Bluemlein, Johannes (ed.) et al., Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. Texts Monogr. Symb. Comput., 35-61 (2021).
Reviewer: Shaoshi Chen (Beijing)
MSC:
33F10
On rational and hypergeometric solutions of linear ordinary difference equations in \(\Pi\Sigma^\ast\)-field extensions. (English) Zbl 1483.12005
Reviewer: Christoph Koutschan (Linz)
An algorithmic approach to the \(q\)-summability problem of bivariate rational functions. (English) Zbl 1462.33012
Calculating three loop ladder and \(V\)-topologies for massive operator matrix elements by computer algebra. (English) Zbl 1348.81034
Simplifying multiple sums in difference fields. (English) Zbl 1315.68294
Schneider, Carsten (ed.) et al., Computer algebra in quantum field theory. Integration, summation and special functions. Wien: Springer (ISBN 978-3-7091-1615-9/hbk; 978-1-4614-8523-0/ebook). Texts and Monographs in Symbolic Computation, 325-360 (2013).
Computer-assisted proofs of some identities for Bessel functions of fractional order. (English) Zbl 1311.33003
Schneider, Carsten (ed.) et al., Computer algebra in quantum field theory. Integration, summation and special functions. Wien: Springer (ISBN 978-3-7091-1615-9/hbk; 978-1-4614-8523-0/ebook). Texts and Monographs in Symbolic Computation, 75-96 (2013).
Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms. (English) Zbl 1295.81071
Reviewer: Sergiy Koshkin (Houston)
An efficient algorithm for deriving summation identities from mutual recurrences. (English) Zbl 1257.68149
Reviewer: Vilmar Trevisan (Porto Alegre)
A refined difference field theory for symbolic summation. (English) Zbl 1147.33006
Reviewer: Hans Benker (Merseburg)
Hypergeometric summation algorithms for high-order finite elements. (English) Zbl 1113.65105
Reviewer: Georg Hebermehl (Berlin)
Plane partitions. VI: Stembridge’s TSPP theorem. (English) Zbl 1066.05019
MSC:
05A17
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