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We obtain explicit formulas for the product of a deformed Weyl denominatorwith the character of an irreducible representation of the spin group$\rm{Spin}_{2r+1}({\mathbb C})$, which is an analogue of the formulas ofTokuyama for Schur polynomials and Hamel-King for characters of symplecticgroups. To give these, we start with a symplectic group and obtain suchcharacters using the Casselman-Shalika formula. We then analyze this usingobjects which are naturally attached to the metaplectic double cover of an oddorthogonal group, which also has dual group $\rm{Spin}_{2r+1}({\mathbb C})$.

Tokuyama-type formulas for type B