Coefficient estimate of biunivalent functions of complex order associated with the Hohlov operator. (English) Zbl 1310.30016
Summary: We introduce and investigate a new subclass of the function class \(\Sigma\) of biunivalent 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 this new subclass. Several, known or new, consequences of the results are also pointed out.
MSC:
| 30C45 | Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) |
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