Hypergeometric-type sequences
From MaRDI portal
Publication:6543086
DOI10.1016/j.jsc.2024.102328zbMATH Open1547.33016MaRDI QIDQ6543086
Publication date: 24 May 2024
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
P-recursive sequences\(m\)-fold indicator sequencesinterlaced hypergeometric termmfoldHyperPetkovšek's algorithm hyper
Convergence and divergence of series and sequences (40A05) Generalized hypergeometric series, ({}_pF_q) (33C20) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10) Exponential and trigonometric functions (33B10) Linear difference equations (39A06)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A fast algorithm for proving terminating hypergeometric identities
- A holonomic systems approach to special functions identities
- Power series in computer algebra
- Hypergeometric solutions of linear recurrences with polynomial coefficients
- Finite singularities and hypergeometric solutions of linear recurrence equations
- Greatest factorial factorization and symbolic summation
- Algorithms for \(m\)-fold hypergeometric summation
- \( m\)-fold hypergeometric solutions of linear recurrence equations revisited
- \(m\)-sparse solution of linear ordinary differential equations with polynomial coefficients
- An extension of Zeilberger's fast algorithm to general holonomic functions
- Symbolic conversion of holonomic functions to hypergeometric type power series
- Reduction-based creative telescoping for Fuchsian D-finite functions
- Computing hypergeometric solutions of linear recurrence equations
- Hypergeometric summation. An algorithmic approach to summation and special function identities
- Ore Polynomials in Sage
- A non-holonomic systems approach to special function identities
- When can we detect that a P-finite sequence is positive?
- Minimal decomposition of indefinite hypergeometric sums
- Termination conditions for positivity proving procedures
- Decision procedure for indefinite hypergeometric summation
- GFUN
- Decision Problems for Linear Recurrence Sequences
- Creative Telescoping for Holonomic Functions
- Positivity Problems for Low-Order Linear Recurrence Sequences
- Towards computerized proofs of identities
- A Note on Pure Recurrence Relations
- D-Finite Functions
- FPS in action
- Operations for D-algebraic functions
- Positivity certificates for linear recurrences
This page was built for publication: Hypergeometric-type sequences