Results on Univalent Functions Defined by q-Analogues of Salagean and Ruscheweh Operators

Ebrahim Amini, Mojtaba Fardi, Shrideh Al-Omari, Kamsing Nonlaopon
2022 Symmetry  
In this paper, we define and discuss properties of various classes of analytic univalent functions by using modified q-Sigmoid functions. We make use of an idea of Salagean to introduce the q-analogue of the Salagean differential operator. In addition, we derive families of analytic univalent functions associated with new q-Salagean and q-Ruscheweh differential operators. In addition, we obtain coefficient bounds for the functions in such new subclasses of analytic functions and establish
more » ... n growth and distortion theorems. By using the concept of the (q, δ)-neighbourhood, we provide several inclusion symmetric relations for certain (q, δ)-neighbourhoods of analytic univalent functions of negative coefficients. Various q-inequalities are also discussed in more details.
doi:10.3390/sym14081725 fatcat:ntqwpzyknzdahpf7cxgw3yoqly