Continued Fractions Related to $(t,q)$-Tangents and Variants

Helmut Prodinger

Abstract


For the $q$-tangent function introduced by Foata and Han (this volume) we provide the continued fraction expansion, by creative guessing and a routine verification. Then an even more recent $q$-tangent function due to Cieslinski is also expanded. Lastly, a general version is considered that contains both versions as special cases.


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