A holonomic systems approach to special functions identities

1990/12/01 by Doron Zeilberger · 13 citations
Computer Science · Engineering · Mathematics · #Advanced Combinatorial Mathematics #Advanced Numerical Analysis Techniques #Algebra over a field #Artificial intelligence #Computer science #Generalized hypergeometric function #Holonomic #Hypergeometric function #Identity (music) #Maple #Mathematics #Polynomial and algebraic computation #Pure mathematics #Series (stratigraphy) #Special functions

paper · pdf · doi:10.1016/0377-0427(90)90042-x

crossref issued 1990/12/01 · crossref published 1990/12/01 · crossref published-print 1990/12/01 · openalex publication_date 1990/12/01 · crossref created 2002/07/26 · crossref deposited 2024/12/06 · openalex created_date 2025/10/10 · crossref indexed 2026/07/10 · openalex updated_date 2026/08/03

Citations

• A proof of the Bieberbach conjecture
• Differentiably Finite Power Series
• D-finite power series
• Strange Evaluations of Hypergeometric Series
• Modules over a ring of differential operators. Study of the fundamental solutions of equations with constant coefficients
• A proof that Euler missed ...
• What is an Answer?

Cited by

• On the Non-Holonomic Character of Logarithms, Powers, and the nth Prime Function
• Order Bounds for Hypergeometric and q-Hypergeometric Creative Telescoping
• Computing a holonomic submodule of the partial Weyl closure
• Degree bounds for linear differential equations and recurrences
• Walsh functions, scrambled (0,m,s)-nets, and negative covariance: Applying symbolic computation to quasi-Monte Carlo integration
• Proof of George Andrews’s and David Robbins’s q -TSPP conjecture
• Analytic computing methods for precision calculations in quantum field theory
• On the Quantum K-Theory of the Quintic
• The product of the eigenvalues of a symmetric tensor
• Algorithmic work with orthogonal polynomials and special functions
• The NoncommutativeA-Polynomial of (−2, 3,n) Pretzel Knots
• A Fast Approach to Creative Telescoping
• Effective bounds for P-recursive sequences
• Holonomic function [wikipedia]