  Akyol, M. A and \c{S}ahin, B. [Conformal semi-invariant submersions, Commun.
Contemp. Math. 19, 1650011 (2017).] introduced the notion of conformal
semi-invariant submersions from almost Hermitian manifolds. The present paper
deal with the study of conformal generic submersions from almost Hermitian
manifolds which extends semi-invariant submersions, generic Riemannian
submersions and conformal semi-invariant submersions a natural way. We mention
some examples of such maps and obtain characterizations and investigate some
properties, including the integrability of distributions, the geometry of
foliations and totally geodesic foliations. Moreover, we obtain some conditions
for such submersions to be totally geodesic and harmonic, respectively.
