qZeil

qZeil is a Mathematica implementation of q-analogues of Gosper’s and Zeilberger’s algorithm for proving and finding indefinite and definite q-hypergeometric summation identities

Keywords for this software

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References in zbMATH (referenced in 32 articles )

Showing results 1 to 20 of 32.
Sorted by year (citations)

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  1. Chen, William Y. C.; Hou, Qing-Hu; Mu, Yan-Ping: The extended Zeilberger algorithm with parameters (2012)
  2. Garoufalidis, Stavros; Sun, Xinyu: The non-commutative $A$-polynomial of twist knots (2010)
  3. Schneider, Carsten: A symbolic summation approach to find optimal nested sum representations (2010)
  4. Schneider, Carsten: Parameterized telescoping proves algebraic independence of sums (2010)
  5. Schneider, Carsten: Structural theorems for symbolic summation (2010)
  6. Bowman, Douglas; McLaughlin, James; Sills, Andrew V.: Some more identities of the Rogers-Ramanujan type (2009)
  7. Kauers, Manuel; Koutschan, Christoph: A Mathematica package for $q$-holonomic sequences and power series (2009)
  8. Chen, William Y. C.; Hou, Qing-Hu; Mu, Yan-Ping: Non-terminating basic hypergeometric series and the $q$-Zeilberger algorithm (2008)
  9. Feng, Ruyong; Gao, Xiao-Shan; Huang, Zhenyu: Rational solutions of ordinary difference equations (2008)
  10. Garoufalidis, Stavros: An Ansatz for the asymptotics of hypergeometric multisums (2008)
  11. Schneider, Carsten: A refined difference field theory for symbolic summation (2008)
  12. Driver, Kathy; Prodinger, Helmut; Schneider, Carsten; Weideman, J. A. C.: Padé approximations to the logarithm II: Identities, recurrences, and symbolic computation (2006)
  13. Abramov, S. A.; Carette, J. J.; Geddes, K. O.; Le, H. Q.: Telescoping in the context of symbolic summation in Maple (2005)
  14. Chen, William Y. C.; Hou, Qing-Hu; Mu, Yan-Ping: Applicability of the $q$-analogue of Zeilberger’s algorithm (2005)
  15. Garoufalidis, Stavros; Lan, Yueheng: Experimental evidence for the Volume Conjecture for the simplest hyperbolic non-2-bridge knot (2005)
  16. Garoufalidis, Stavros; L^e, Thang T. Q.: The colored Jones function is $q$-holonomic (2005)
  17. Mohammed, Mohamud; Zeilberger, Doron: Sharp upper bounds for the orders of the recurrences output by the Zeilberger and $q$-Zeilberger algorithms (2005)
  18. Schneider, Carsten: Solving parameterized linear difference equations in terms of indefinite nested sums and products (2005)
  19. Garoufalidis, Stavros: On the characteristic and deformation varieties of a knot (2004)
  20. Schneider, Carsten: The summation package Sigma: underlying principles and a rhombus tiling application (2004)

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Further publications can be found at: http://www.risc.jku.at/publications/