Paule, Peter and Prodinger, Helmut - Fountains, histograms, and q-identities

dmtcs:336 - Discrete Mathematics & Theoretical Computer Science, January 1, 2003, Vol. 6 no. 1
Fountains, histograms, and q-identities

Authors: Paule, Peter and Prodinger, Helmut

We solve the recursion S_n=S_n-1-q^nS_n-p, both, explicitly, and in the limit for n→∞, proving in this way a formula due to Merlini and Sprugnoli. It is also discussed how computer algebra could be applied.

Source : oai:HAL:hal-00958993v1
Volume: Vol. 6 no. 1
Published on: January 1, 2003
Submitted on: March 26, 2015
Keywords: q―identities,fountains,histograms,Schur polynomials,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]


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