@article{Murugusundaramoorthy2022, 
author = {Gangadharan Murugusundaramoorthy and Luminiţa-Ioana Cotîrlă},
title = {Bi-univalent functions of complex order defined by Hohlov operator associated with legendrae polynomial},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {5},
pages = {8733-8750},
keywords = {analytic functions, univalent functions, bi-univalent functions, bi-starlike and bi-convex functions, Hohlov operator, gaussian hypergeometric function, Dziok-Srivastava operator, legendrae polynomial},
url = {https://www.sciopen.com/article/10.3934/math.2022488},
doi = {10.3934/math.2022488},
abstract = {In this paper, we introduce and investigate two new subclasses of the function class    Σ of bi-univalent functions of complex order defined in the open unit disk, which are associated with the Hohlov operator, satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients        |        a    2        |   and        |        a    3        |   for functions in these new subclasses. Several (known or new) consequences of the results are also pointed out.}
}