Prodinger, Helmut - Continued fraction expansions for q-tangent and q-cotangent functions

dmtcs:492 - Discrete Mathematics & Theoretical Computer Science, January 1, 2010, Vol. 12 no. 2
Continued fraction expansions for q-tangent and q-cotangent functions

Authors: Prodinger, Helmut

For 3 different versions of q-tangent resp. q-cotangent functions, we compute the continued fraction expansion explicitly, by guessing the relative quantities and proving the recursive relation afterwards. It is likely that these are the only instances with a ''nice'' expansion. Additional formulae of a similar type are also provided.


Source : oai:HAL:hal-00990445v1
Volume: Vol. 12 no. 2
Published on: January 1, 2010
Submitted on: March 26, 2015
Keywords: q-tangent,q-cotangent,continued fraction,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]


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