GeneratingFunctions

GeneratingFunctions: A Mathematica package for manipulations of univariate holonomic functions and sequences.

Keywords for this software

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References in zbMATH (referenced in 27 articles )

Showing results 1 to 20 of 27.
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  1. Paule, Peter; Radu, Cristian-Silviu: Holonomic relations for modular functions and forms: first guess, then prove (2021)
  2. Jiménez-Pastor, Antonio; Pillwein, Veronika; Singer, Michael F.: Some structural results on (\mathrmD^n)-finite functions (2020)
  3. Jiménez-Pastor, Antonio: DD-finite functions in Sage (2019)
  4. Jiménez-Pastor, Antonio; Pillwein, Veronika: A computable extension for D-finite functions: DD-finite functions (2019)
  5. Salvy, Bruno: Linear differential equations as a data structure (2019)
  6. Huang, Hui; Kauers, Manuel: D-finite numbers (2018)
  7. Schneider, Carsten; Sulzgruber, Robin: Asymptotic and exact results on the complexity of the Novelli-Pak-Stoyanovskii algorithm (2017)
  8. Bostan, Alin; Bousquet-Mélou, Mireille; Kauers, Manuel; Melczer, Stephen: On 3-dimensional lattice walks confined to the positive octant (2016)
  9. Li, Zane Kun; Walker, Alexander W.: Arithmetic properties of Picard-Fuchs equations and holonomic recurrences (2013)
  10. Bostan, Alin; Kauers, Manuel; Van Hoeij, Mark: The complete generating function for Gessel walks is algebraic (2010)
  11. Kohl, Karen; Stan, Flavia: An algorithmic approach to the Mellin transform method (2010)
  12. Stan, Flavia: On recurrences for Ising integrals (2010)
  13. Blümlein, Johannes; Kauers, Manuel; Klein, Sebastian; Schneider, Carsten: Determining the closed forms of the anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra (2009)
  14. Gao, Xiao-Shan; Luo, Yong; Yuan, Chunming: A characteristic set method for ordinary difference polynomial systems (2009)
  15. Gerhold, Stefan; Warnung, Richard: Finding efficient recursions for risk aggregation by computer algebra (2009)
  16. Kauers, Manuel; Koutschan, Christoph: A Mathematica package for (q)-holonomic sequences and power series (2009)
  17. Stan, Flavia: Computer-assisted proofs of special function identities related to Poisson integrals (2009)
  18. Gerhold, Stefan; Glebsky, Lev; Schneider, Carsten; Weiss, Howard; Zimmermann, Burkhard: Computing the complexity for Schelling segregation models (2008)
  19. Pillwein, Veronika: Positivity of certain sums over Jacobi kernel polynomials (2008)
  20. Kauers, Manuel: An algorithm for deciding zero equivalence of nested polynomially recurrent sequences (2007)

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