This paper establishes the upper bounds for second and third coefficients of holomorphic bi-univalent functions in a family which involves Bazilevic μ-pseudo-starlike under new operator, joining neutrosophic Poisson distribution with modified Caputo’s derivative operator. We also discuss Fekete–Szego’s function problem this family. Examples are given to support our case distribution. The fields...

We describe a homotopical version of the relational and gluing models of type theory, and generalize it to inverse diagrams and oplax limits. Our method uses the Reedy homotopy theory on inverse diagrams, and relies on the fact that Reedy fibrant diagrams correspond to contexts of a certain shape in type theory. This has two main applications. First, by considering inverse diagrams in Voevodsky...

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...

We defined two new subclasses of analytic bi-univalent function class Σ, in the open unit disk related with Sălăgean–Erdély–Kober operator. The bounds on initial coefficients |a2|,|a3| and |a4| for functions these Σ are investigated. Using estimates a2,a3, we also discuss Fekete-Szegö inequality results classes this paper. Relevant connections results, presented here as corollaries, not studied...

In the present investigation, with motivation from pioneering work of Srivastava et al. [28], which in recent years actually revived study analytic and bi-univalent functions, we introduce subclasses T*?(n,?) T?(n,?) function class ? defined open unit disk U = {z C : |z| < 1g involving S?l?gean derivative operator Dn. Moreover, derive estimates on initial coefficients |a2| |a3| for functions...

in the present paper we study convolution properties for subclasses of univalent harmonic functions in the open unit disc and obtain some basic properties such as coefficient characterization and extreme points.

During task switching, if we occasionally encounter stimuli that cue more than one task (i.e., bivalent stimuli), response slowing is observed on all univalent trials within that block, even when no features overlap with the bivalent stimuli. This observation is known as the bivalency effect. Previous fMRI work (Woodward et al., 2008) clearly suggests a role for the dorsal anterior cingulate co...

Considerable work has used language-switching tasks to investigate how bilinguals manage competition between languages. Language-switching costs have been argued to reflect persisting inhibition or persisting activation of a non-target language. However, these costs might instead reflect the use of bivalent stimuli (i.e. pictures or digits that can be responded to in either language). That is, ...

During male but not female mammalian meiosis, there is efficient apoptotic elimination of cells with unpaired (univalent) chromosomes at the first meiotic metaphase (MI) [1]. Apoptotic elimination of MI spermatocytes is seen in response to the univalent X chromosome of XSxr(a)O male mice [2], in which the X chromosome carries Sxr(a) [3, 4], the Y-chromosome-derived sex-reversal factor that incl...

In his 1984 proof of the Bieberbach and Milin conjectures de Branges used a positivity result of special functions which follows from an identity about Jacobi polynomial sums that was found by Askey and Gasper in 1973, published in 1976. In 1991 Weinstein presented another proof of the Bieberbach and Milin conjectures, also using a special function system which (by Todorov and Wilf) was realize...