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

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.

• Type: Journal
• Year: 2010
• Where: DMTCS
• Authors: Helmut Prodinger
• Keywords: Continued Fraction Expansion, DMTCS 2010, Q-tangent Resp, Relative Quantities, Sensor Networks