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hypergeometricsols

Computing Hypergeometric Solutions of Second Order Linear Differential Equations using Quotients of Formal Solutions and Integral Bases.

Keywords for this software

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  • hypergeometric solutions
  • (\mathrmD)-finite and (\mathrmD)-algebraic functions
  • PDE system
  • complete set of Laplace invariants
  • integral bases
  • asymptotic series analysis
  • power-series expansions
  • linear differential equations
  • boundary quantum field theory
  • discrete partial differential equations
  • integral basis
  • closed form solutions
  • non-prescribed data
  • difference fields
  • closed-form solution
  • conformal field theory
  • symbolic computation
  • directed walk models
  • enumerative combinatorics
  • exactly solvable models
  • linear difference equations
  • Trager’s reduction
  • D-finite generating functions
  • telescoper
  • gauge transformations
  • lattice paths
  • rational solutions
  • algorithm
  • Adomian decomposition method
  • random systems

  • URL: www.math.fsu.edu/~eima...
  • InternetArchive
  • Authors: Erdal Imamoglu; Mark van Hoeij
  • Dependencies: Maple

  • Add information on this software.


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References in zbMATH (referenced in 8 articles )

Showing results 1 to 8 of 8.
y Sorted by year (citations)

  1. Zeidan, Dia; Chau, Chi Kin; Lu, Tzon-Tzer: On the development of Adomian decomposition method for solving PDE systems with non-prescribed data (2022)
  2. Abramov, Sergei A.; Bronstein, Manuel; Petkovšek, Marko; Schneider, Carsten: On rational and hypergeometric solutions of linear ordinary difference equations in (\Pi\Sigma^\ast)-field extensions (2021)
  3. Bostan, Alin; Bousquet-Mélou, Mireille; Melczer, Stephen: Counting walks with large steps in an orthant (2021)
  4. Hobby, D.; Shemyakova, E.: Laplace invariants of differential operators (2021)
  5. Chen, Shaoshi; van Hoeij, Mark; Kauers, Manuel; Koutschan, Christoph: Reduction-based creative telescoping for Fuchsian D-finite functions (2018)
  6. Gori, Giacomo; Viti, Jacopo: Four-point boundary connectivities in critical two-dimensional percolation from conformal invariance (2018)
  7. Imamoglu, Erdal; van Hoeij, Mark: Computing hypergeometric solutions of second order linear differential equations using quotients of formal solutions and integral bases (2017)
  8. Jensen, Iwan: Three friendly walkers (2017)

  • Article statistics & filter:

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  • MSC classification / top
    • Top MSC classes
      • 05 Combinatorics
      • 12 Field theory and...
      • 33 Special functions
      • 35 Partial differential...
      • 68 Computer science
    • Other MSC classes
      • 16 Associative rings and...
      • 34 Ordinary differential...
      • 37 Dynamical systems and...
      • 39 Difference and...
      • 41 Approximation and...
      • 62 Statistics
      • 65 Numerical analysis
      • 81 Quantum Theory
      • 82 Statistical mechanics,...

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