scientific article; zbMATH DE number 1263410
From MaRDI portal
Publication:4234305
zbMath0919.34013MaRDI QIDQ4234305
Sergey A. Abramov, Marko Petkovsek
Publication date: 31 August 1999
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liouvillian solutionshyperexponential functionslinear differential and difference equationsd'Alembertian solutions
Symbolic computation and algebraic computation (68W30) Linear ordinary differential equations and systems (34A30)
Related Items (29)
Asymptotic and exact results on the complexity of the Novelli-Pak-Stoyanovskii algorithm ⋮ Padé approximations to the logarithm II: Identities, recurrences, and symbolic computation ⋮ Algebraic independence of sequences generated by (cyclotomic) harmonic sums ⋮ Multiple binomial sums ⋮ Analytic computing methods for precision calculations in quantum field theory ⋮ Some open problems related to creative telescoping ⋮ Iterated binomial sums and their associated iterated integrals ⋮ Padé approximations to the logarithm. III: Alternative methods and additional results ⋮ Convolutions of Liouvillian sequences ⋮ Representation of hypergeometric products of higher nesting depths in difference rings ⋮ The factorial-basis method for finding definite-sum solutions of linear recurrences with polynomial coefficients ⋮ A symbolic summation approach to Feynman integral calculus ⋮ Computer proofs of a new family of harmonic number identities. ⋮ Summation theory. II: Characterizations of \(R {\Pi}{\Sigma}^{\ast}\)-extensions and algorithmic aspects ⋮ A refined difference field theory for symbolic summation ⋮ Automated solution of first order factorizable systems of differential equations in one variable ⋮ A difference ring theory for symbolic summation ⋮ Structural theorems for symbolic summation ⋮ Determining the closed forms of the anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra ⋮ On rational and hypergeometric solutions of linear ordinary difference equations in \(\Pi\Sigma^\ast\)-field extensions ⋮ Large Scale Analytic Calculations in Quantum Field Theories ⋮ Simplifying Multiple Sums in Difference Fields ⋮ A case study for \(\zeta (4)\) ⋮ Proving Two Conjectural Series for $$\zeta (7)$$ and Discovering More Series for $$\zeta (7)$$ ⋮ Analytic Integration Methods in Quantum Field Theory: An Introduction ⋮ Extensions of the AZ-Algorithm and the Package MultiIntegrate ⋮ Nested Integrals and Rationalizing Transformations ⋮ Term Algebras, Canonical Representations and Difference Ring Theory for Symbolic Summation ⋮ The SAGEX review on scattering amplitudes Chapter 4: Multi-loop Feynman integrals
This page was built for publication:
