Summations of polylogarithms via Evaluation transform.

DOI10.1016/S0378-4754(96)00045-6zbMath1037.33500OpenAlexW2057081914MaRDI QIDQ1565860

Vincel Hoang Ngoc Minh

Publication date: 27 May 2003

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(96)00045-6

zbMATH Keywords

combinatoricsnonlinear systemssymbolic computationpolylogarithmscomputer algebraZeta functiongenerating seriesiterated integralEvaluation transform

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Other special functions (33E99) Computational number theory (11Y99)

Related Items

Special values of multiple polylogarithms, Harmonic sums and polylogarithms at non-positive multi-indices, Shuffle product formulas of multiple zeta values, Dirichlet functions of order \(n\) and parameter \(t\), On a conjecture by Pierre Cartier about a group of associators, Towards a theory of domains for harmonic functions and its symbolic counterpart, Mathematical Renormalization in Quantum Electrodynamics via Noncommutative Generating Series, Analytic and combinatoric aspects of Hurwitz polyzetas, Combinatorial study of colored Hurwitz polyzêtas., Structure of polyzetas and Lyndon words, On the solutions of the universal differential equation with three regular singularities (on solutions of \(KZ_3)\), Kleene stars of the plane, polylogarithms and symmetries

Uses Software

• MACSYMA

Cites Work

• The Bloch-Wigner-Ramakrishnan polylogarithm function
• Realisation locale des systèmes non linéaires, algèbres de Lie filtrees transitives et séries generatrices non commutatives
• Dilogarithms, regulators and \(p\)-adic \(L\)-functions
• Approximation of nonlinear dynamic systems by rational series
• Evaluation transform
• An algebraic approach to nonlinear functional expansions
• On the Monodromy of Higher Logarithms
• Fonctionnelles causales non linéaires et indéterminées non commutatives
• A note on functional equations of the $p$-adic polylogarithms
• Iterated path integrals
• On polylogarithms
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item