In the present article, using the subordination principle, the authors employed certain generalized multiplier transform to define two new subclasses of analytic functions with respect to symmetric and conjugate points. In particular, bi-univalent conditions for function $f\left(z\right)$ belonging to these new subclasses and their relevant connections to the famous Fekete-Szegö inequality $|a_3-v{a}_2^2|$ were investigated using a succinct mathematical approach.

This article describes the data for examining the influence of government expenditure and revenue on Nigerian economic growth. Data were extracted from the World Bank database and Central Bank of Nigeria (CBN) Statistical bulletin. The data are available with this article. The data is related to the research article "Newly proposed estimator for ridge parameter: an application to the Nigerian economy" (Lukman and Arowolo, 2018) but not discussed in detail. This data article will assist economists in identifying factors that will affect the economy of a country, especially in the African region.

Gegenbauer polynomials constitute a numerical tool that has attracted the interest of many function theorists in recent times mainly due to their real-life applications in many areas of the sciences and engineering. Their applications in geometric function theory (GFT) have also been considered by many researchers. In this paper, this powerful tool is associated with the prolific concepts of convolution and subordination. The main purpose of the research contained in this paper is to introduce and study a new subclass of analytic functions. This subclass is presented using an operator defined as the convolution of the generalized distribution and the error function and applying the principle of subordination. Investigations into this subclass are considered in connection to Carathéodory functions, the modified sigmoid function and Bell numbers to obtain coefficient estimates for the contained functions.

The study introduced a generalized multiplier operator used as a tool to define and investigate a new class of function,$TS{Q}_{\sigma ,\xi ,\omega ,\epsilon }^{\mu ,\lambda ,\eta }\left(\varpi ,n\right)$and its subclass$TS{Q}_{\sigma ,\xi ,\omega ,\epsilon }^{\mu ,\lambda ,\eta }\left(\varpi ,n;M_i\right)$. Various properties of the class of functions were investigated. The results extend some known results in literature.