Certain Subclasses of Biunivalent Functions Associated with the Chebyshev Polynomials Based on Hohlov Operator
G. Murugusundaramoorthy$^1$, K.Vijaya$^2$ and H.\"{O}.G\"{u}ney$^3$
In this paper we introduce and investigate two new subclasses of the function
class $\Sigma$ of biunivalent functions in the open unit disk, which are associated
with the Hohlov operator, and satisfying subordinate conditions. Furthermore, we find
estimates on the TaylorMacLaurin coefficients $a_2$ and $a_3$ for functions in these
new subclasses by using Chebyshev polynomials. Several new consequences of these results
are also pointed out.
Tbilisi Mathematical Journal, Vol. 11(2) (2018), pp. 153–166
