%0 Journal Article %T Whittaker functions on orthogonal groups of odd degree %A Taku Ishii %J Mathematics %D 2011 %I arXiv %X We give explicit formulas for Whittaker functions for the class one principal series representations of the orthogonal groups $ SO_{2n+1}(\R) $ of odd degree. Our formulas are similar to the recursive formulas for Whittaker functions on $SL_n(\R)$ given by Stade and the author \cite{ISt}. Some parts of our results are announced in \cite{I3}. %U http://arxiv.org/abs/1102.2458v1