Qseries Maple tutorial: A q-product tutorial for a q-series Maple package. This is a tutorial for using a new q-series Maple package. The package includes facilities for conversion between q-series and q-products and finding algebraic relations between q-series. Andrews found an algorithm for converting a q-series into a product. We provide an implementation. As an application we are able to effectively find finite q-product factorisations when they exist thus answering a question of Andrews. We provide other applications involving factorisations into theta-functions and eta-products.

References in zbMATH (referenced in 13 articles , 1 standard article )

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  1. Ablinger, Jakob; Uncu, Ali Kemal: \textttqFunctions-- a Mathematica package for (q)-series and partition theory applications (2021)
  2. Frank Garvan: A tutorial for the MAPLE ETA package (2019) arXiv
  3. Jakob Ablinger, Ali K. Uncu: qFunctions - A Mathematica package for q-series and partition theory applications (2019) arXiv
  4. Kanade, Shashank; Nandi, Debajyoti; Russell, Matthew C.: A variant of \textttIdentityFinderand some new identities of Rogers-Ramanujan-MacMahon type (2019)
  5. Meemark, Yotsanan; Samart, Detchat: Mahler measures of a family of non-tempered polynomials and Boyd’s conjectures (2019)
  6. Jie Frye, Frank Garvan: Automatic Proof of Theta-Function Identities (2018) arXiv
  7. Kyriakoussis, Andreas George; Vamvakari, Malvina: A (q)-analogue of the Stirling formula and a continuous limiting behaviour of the (q)-binomial distribution -- numerical calculations (2013)
  8. Kyriakoussis, Andreas George; Vamvakari, Malvina G.: On a (q)-steady state Markov chain model based on transformed dual (q)-Krawtchouk orthogonal polynomials and its limiting behaviour (2010)
  9. McLaughlin, James; Sills, Andrew V.; Zimmer, Peter: Rogers-Ramanujan computer searches (2009)
  10. Antonopoulou, Sotiria; Stamatiou, Yannis C.; Vamvakari, Malvina: An asymptotic expansion for the (q)-binomial series using singularity analysis for generating functions (2007)
  11. Kyriakoussis, A.; Vamvakari, M. G.: On asymptotics for the signless noncentral (q)-Stirling numbers of the first kind (2006)
  12. Cooper, Shaun; Hirschhorn, Michael: On some infinite product identities (2001)
  13. Garvan, Frank: Qseries Maple tutorial: A (q)-product tutorial for a (q)-series Maple package (1999)