The boundary layer flow over a shrinking sheet into a slot with power-law velocity is analytically studied by a newly developed technique namely homotopy analysis method (HAM). The present work provides analytically new solution branch in different solution areas with the aid of an introduced transformation. The analytical results show that quite complicated behaviors controlled by mass transfer parameters fc, exist, including the known algebraically decaying solution, additional dual solutions and unique solution, which greatly differ from the continuously stretching surface problem. The new analytical solution branch enriches the solution family of the boundary layer flow over a shrinking sheet into a slot with power-law velocity, and helps to understand it deeply. (C) 2015 Elsevier Ltd. All rights reserved.