Whittaker modules for a subalgebra of N=2 superconformal algebra

In this paper, Whittaker modules are studied for a subalgebra ${\mathfrak{q}}_{\epsilon }$ of the $\mathit{\text{N}}$=2 superconformal algebra. The Whittaker modules are classified by central characters. Additionally, criteria for the irreducibility of the Whittaker modules are given.