### Continued fraction expansions for q-tangent and q-cotangent functions

*Helmut Prodinger*

#### Abstract

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.Full Text: PDF PostScript