Publications de l’Institut Mathématique, vol.108, no.122, pp.155-162, 2020 (Journal Indexed in ESCI)
We investigate specific new subclasses of the function class Sigma of bi-univalent function defined in the open unit disc, which is connected with quasi-subordination. We find estimates on the Taylor-Maclaurin coefficients vertical bar a(2)vertical bar and vertical bar a(3)vertical bar for functions in these subclasses. Already pointed out are some documented and new implications of those findings.