  In this paper, with the presence of swampland conjecture, we use the complex
form of a scalar field and investigate the anisotropic constant-roll of an
inflationary scenario. Recently, the complex quintessence field has been used
to describe the accelerating expansion of the universe which has had
interesting results connecting with various conditions. Therefore, the
Lagrangian density of the quintessence field leads to obtaining the equations
of the complex scalar field. Also, we use the anisotropic constant-roll
conditions and the field equation and calculate the exact solutions for some
cosmology parameters such as Hubble parameter and potential. Using the exact
solution of potential and refined swampland conditions, we plot some figures.
In that case, the figures lead us to have challenges between three concepts as
complex quintessence, anisotropic constant-roll conditions, and swampland
conjectures. Then we discuss their compatibility and incompatibility with
corresponding results. Finally, we will analyze the complex quintessence in
examining the inflationary scenario.
