In the recent years several complex operators of summation-integral type have been
proposed and their approximation properties have been discussed. The operators which
have Baskakov or Szász basis functions have very complicated analysis. In the present article,
we propose a complex hybrid operator, the special case of which provides the genuine
Baskakov–Szász operators. Here we establish an upper estimate, Voronovskaja type
asymptotic formula and exact order of approximation.