Row-strict dual immaculate functions

We define a new basis of quasisymmetric functions, the row-strict dual immaculate as generating function particular set tableaux. establish that this definition gives can also be obtained by applying $\psi$ involution to functions Berg, Bergeron, Saliola, Serrano, and Zabrocki (2014) numerous combinatorial properties for our functions. give an equivalent formulation via Bernstein-like operators, in similar fashion Berg et. al (2014). conclude paper defining skew hook establishing them.