Coefficient estimate for class of meromorphic bi-Bazilevič type functions associated with linear operator defined by convolution. (English) Zbl 1488.30109
Summary: In the present paper, we propose to investigate a new subclass
\(\Sigma_M^{\ast,p,q}(h,\mu,\lambda,k,\gamma)\) of meromorphic functions associated with linear operator defined by means of convolution in the exterior of the unit disk \(\nabla:= \{z\in\mathbb{C} : 1 < |z| <\infty\}\). We study the behaviour of initial coefficients \(b_0\), \(b_1\) and \(b_2\) for the function in this
newly constructed class. Some interesting remarks of the results presented here are discussed. Our results generalize and improve some of the previously known results of other researchers.
MSC:
30C45 | Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) |
30C80 | Maximum principle, Schwarz’s lemma, Lindelöf principle, analogues and generalizations; subordination |
30C50 | Coefficient problems for univalent and multivalent functions of one complex variable |