Differential sandwich theorems for some subclasses of analytic functions associated with linear operator
The authors study on some results related to differential sandwich theorems for some subclasses of analytic functions associated with linear operator. Let \(q_{1}\) and \(q_{2}\) be univalent in \(\Delta=\{z:| z| <1\}\) with \(q_{1}(0)=q_{2}(0)=1\). The authors apply the first order differential subordination and superordination to obtain sufficient conditions for a normalised analytic functions \(f(z)\) with \(f(0)=f'(0)-1=0\) to satisfy \[ q_{1}(z)\prec\dfrac{zf'(z)}{f(z)}\prec q_{2}(z). \] The authors obtain solid 14 theorems with some applications to Carlson-Shaffer operator, Ruscheweyh and Salagean derivatives.
scientific article; zbMATH DE number 5163952