  In this paper, we obtain a $(p,\nu)$-extension of the Whittaker function
$M_{\kappa,\mu}(z)$ by using the extended confluent hypergeometric function of
the first kind $\Phi_{p,\nu}(b;c;z)$ introduced in Parmar et al. [J. Classical
Anal. 11 (2017) 81--106]. Also, we derive some of the main properties of this
function, namely several integral representations, a summation formula, the
analogue of Kummer's transformation formula, an asymptotic representation, the
Mellin transform, a differential formula and some inequalities.
