Maclaurin Coefficient Estimates for New Subclasses of Bi-univalent Functions Connected with aq-Analogue of Bessel Function

Abstract

In this paper, we introduce new subclasses of the function class Σ of bi-univalent functions connected with a q-analogue of Bessel function and defined in the open unit disc. Furthermore, we find estimates on the first two Taylor-Maclaurin coefficients a2 and a3 for functions in these new subclasses.

Faber polynomial coefficient estimates of bi-close-to-convex functions connected with the Borel distribution of the Mittag-Leffler type

“…[21] such as, for example, [25,26,27,28,29] (see also [30,31,32,33] and the references to other related developments which are cited in each of these publications). Motivated by the earlier work of Sakar and Güney [34], we define the following subclass of bi-close-to-convex functions M α,β ,λ Σ (γ, ϑ ) related with the Mittag-Leffler type Borel distribution.…”

Fuzzy differential subordinations connected with convolution

“…studied by El-Deeb and Bulboacȃ [7] and El-Deeb [5], we obtain the operator N m,λ,q υ,n,δ , defined as follows:…”

Subclasses of Bi-Univalent Functions Associated with q-Confluent Hypergeometric Distribution Based Upon the Horadam Polynomials

“…, with their corresponding inverses g 1 (w) = w 1 + w , g 2 (w) = e 2w − 1 e 2w + 1 , g 3 (w) = e w − 1 e w , respectively, are elements of Σ (see [6,7,25]). For a brief history and interesting examples in the class Σ see, for example [2].…”