Search

In this paper, we introduce and investigate an interesting subclass of meromorphic bi-univalent functions defined on Δ = {z ∈ ℂ: 1 < |z| < ∞}. For functions belonging to this class, estimates on the initial coefficients are obtained. The results presented in this paper generalize and improve some recent works.

In the first part of this work we present several new geometric properties of analytic functions by applying the differential subordination. In addition, several results in the geometric functions theory pointed out. In the second part we find upper bounds for coefficients of functions in class B∑q,µ (β, λ, h) which is defined by fractional q-calculus operators. [ABSTRACT FROM AUTHOR]

Hankel matrices are related to a wide range of disparate determinant computations and algorithms and some very attractive computational properties are allocated to them. Also, the Hankel determinants are crucial factors in the research of singularities and power series with integral coefficients. It is specified that the Fekete-Szegö functional and the second Hankel determinant are equivalent to H1(2) and H2(2), respectively. In this study, the upper bounds were obtained for the second Hankel determinant of the subclass of bi-univalent functions, which is defined by subordination. It is worth noticing that the bounds rendered in the present paper generalize and modify some previous results. [ABSTRACT FROM AUTHOR]

In this work, the Faber polynomial expansions and a different method were employed to estimate the |an| coefficients of a subclass of bi-close-to-convex functions, which is introduced by subordination concept in the open unit disk. Further, we generalize some of the previous outcomes. [ABSTRACT FROM AUTHOR]

In this work, we firstly introduce a new subclass B∑h(n,λ) of analytic and biunivalent functions. Moreover, we estimate the second and third coefficients for functions in this subclass. Our results presented in this paper improve some recent works. [ABSTRACT FROM AUTHOR]

In this paper, we obtain the existence of some common best proximity point theorems for generalized Lipschitz contractive mappings on cone b-metric spaces over Banach algebras without assumption of normality. Our results generalize the corresponding result by Xu and Radenović (Fixed Point Theory and Appl. 2014, 2014: 102) and by Huang and Radenović (J. Computational Anal. and Appl. 2016, 20(3)). Further, we give an example to illustrate that our works are never equivalent with the counterparts in the literature. [ABSTRACT FROM AUTHOR]

In this paper, we introduce and investigate an interesting subclass of analytic and bi-univalent functions in the open unit disk U. Furthermore, we find upper bounds for the second and third coefficients for functions in this subclass. The results presented in this paper would generalize and improve some recent works. [ABSTRACT FROM AUTHOR]