HYP

HYP and HYPQ. Mathematica packages for the manipulation of binomial sums and hypergeometric series respectively $q$-binomial sums and basic hypergeometric series The author gives a brief description of the main features of the Mathematica packages HYP and HYPQ. HYP allows a convenient handling of binomial sums and hypergeometric series, while its ’q-analogue’, the package HYPQ, allows a convenient handling of q-binomial sums and basic hypergeometric series.


References in zbMATH (referenced in 28 articles , 3 standard articles )

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  1. Ablinger, Jakob; Uncu, Ali Kemal: \textttqFunctions-- a Mathematica package for (q)-series and partition theory applications (2021)
  2. Kar, P. P.; Jordaan, K.; Gochhayat, P.; Kenfack Nangho, M.: Quasi-orthogonality and zeros of some (_2 \phi_2) and (_3 \phi_2) polynomials (2020)
  3. Jakob Ablinger, Ali K. Uncu: qFunctions - A Mathematica package for q-series and partition theory applications (2019) arXiv
  4. Krattenthaler, Christian; Zudilin, Wadim: Hypergeometry inspired by irrationality questions (2019)
  5. Ciucu, Mihai; Fischer, Ilse: Lozenge tilings of hexagons with arbitrary dents (2016)
  6. Fischer, Ilse; Riegler, Lukas: Combinatorial reciprocity for monotone triangles (2013)
  7. Ryabenko, A. A.; Khmelnov, D. E.: Hypergeometric pattern matching summation in Maple (2010)
  8. Conflitti, Alessandro: On Whitney numbers of the order ideals of generalized fences and crowns (2009)
  9. Jafarov, E.; Lievens, S.; Van der Jeugt, J.: The Wigner distribution function for the one-dimensional parabose oscillator (2008)
  10. Prodinger, Helmut: Human proofs of identities by Osburn and Schneider (2008)
  11. Conflitti, Alessandro: The size of Bruhat intervals between nested involutions in (S_n) (2007)
  12. Lievens, S.; Van der Jeugt, J.: Symmetry groups of Bailey’s transformations for (_10\phi_9)-series (2007)
  13. Fischer, Ilse: Another refinement of the Bender-Knuth (ex-)conjecture (2006)
  14. Lievens, S.; Van der Jeugt, J.: Invariance groups of three term transformations for basic hypergeometric series (2006)
  15. Abramov, S. A.; Carette, J. J.; Geddes, K. O.; Le, H. Q.: Telescoping in the context of symbolic summation in Maple (2005)
  16. Merlini, D.; Sprugnoli, R.; Verri, M. C.: Human and constructive proof of combinatorial identities: an example from Romik (2005)
  17. Gilmer, Patrick M.; Masbaum, Gregor; van Wamelen, Paul: Integral bases for TQFT modules and unimodular representations of mapping class groups (2004)
  18. Sills, Andrew V.: \textttRRtools-- a Maple package for aiding the discovery and proof of finite Rogers-Ramanujan type identities (2004)
  19. Krattenthaler, C.; Rosengren, H.: On a hypergeometric identity of Gelfand, Graev and Retakh. (2003)
  20. Krattenthaler, C.; Srinivasa Rao, K.: Automatic generation of hypergeometric identities by the beta integral method. (2003)

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