We produce skew Pieri rules for Hall-Littlewood functions in the spirit of Assaf and McNamara (J. Comb. Theory Ser. A 118(1):277-290, 2011). The first two were conjectured by the first author (Konvalinka in J. Algebraic Comb. 35(4):519-545, 2012). The key ingredients in the proofs are a $q$-binomial identity for skew partitions and a Hopf algebraic identity that expands products of skew elements in terms of the coproduct and the antipode.
COBISS.SI-ID: 16925529