A Formula for the Specialization of Skew Schur Functions

We give a formula for $${s_{\lambda/\mu}(1, q, q^{2},\ldots) /s_{\lambda}(1, q, q^{2},\ldots)}$$sλ/μ(1,q,q2,…)/sλ(1,q,q2,…), which generalizes a result of Okounkov and Olshanski about $${f^{\lambda/\mu} / f ^{\lambda}}$$fλ/μ/fλ.