Sanford S. Miller and Petru T. Mocanu’s theory of second-order differential subordinations was extended for the case third-order by José A. Antonino in 2011. In this paper, new results are proved regarding that extend ones involving classical subordination theory. A method finding a dominant is provided when behavior function not known on boundary unit disc. Additionally, obtaining best present...

Fuzzy differential subordination theory represents a generalization of the classical concept which emerged in recent years as result embedding fuzzy set into geometric function theory. The fractional integral Gaussian hypergeometric is defined this paper and using properties chains, new subordinations are obtained. Dominants given particular functions such dominants, interesting interpreted inc...

In this paper, we investigate several fuzzy differential subordinations that are connected with the Borel distribution series B?,?,?(z) of Mittag-Leffler type, which involves two-parameter function E?,?(z). Using above-mentioned operator B?,?,?, also introduce and study a class M?,?,?F? holomorphic univalent functions in open unit disk ?. The Mittag-Leffler-type functions, have used present inv...

We define a new class of exponential starlike functions constructed by linear operator involving normalized form the generalized Struve function. Making use technique differential subordination introduced Miller and Mocanu, we investigate several results related to Briot–Bouquet subordinations for also obtain univalent solutions equations observe that these are best dominant function class. Mor...

The object of this paper is to obtain some strong subordination results regarding a new class Sm n (α, β, ρ) defined by using a new generalized multiplier transformation. 2000 Mathematics Subject Classification: 30C80, 30C45, 30A20.

"In this paper we introduce the Ruscheweyh-Bernardi differential-integral operator $T^m:A\to A$ defined by $$T^m[f](z)=(1-\lambda )R^m [f](z)+\lambda B^m[f](z),\ z\in U,$$ where $R^m$ is Ruscheweyh differential (Definition \ref{d1.2}) and $B^m$ Bernardi integral \ref{d1.1}). By using $T^m$, class of univalent functions denoted $T^m(\lambda ,\beta )$, $0\le \lambda \le 1$, \beta <1$, several ...

The paper problematizes roles and positions of women artists consumers through the complex processes spectacle. question women?s body is related to questioning gender on performative level, with aim emphasize existing paradigms (as sexuality, dimorphism, dominations subordinations, phalogocentric spaces), but also make constructive options in sphere popular music subculture (ambivalence, equiva...

Studies regarding the two dual notions are conducted in this paper using Riemann–Liouville fractional integral of q-hypergeometric function for obtaining certain fuzzy differential subordinations and superordinations. Fuzzy best dominants subordinants given theorems investigating superordinations, respectively. Moreover, corollaries stated by considering particular functions with known geometri...