<p>Recently, semi-exponential operators were introduced in literature and within few years it became highly interesting area among researchers. In this direction, we extend the study of semi-exponential Baskakov operators. Here, we capture semi exponential Baskakov type operator by composition method. We establish Voronovskaja’s type results in different spaces, local convergence theorem and present theorems based on difference of operators. Additionally, we derive the convergence for the operators in terms of different type of modulus of continuity. Furthermore, we show the convergence by providing some graphs.</p>