Earthline Journal of Mathematical Sciences

Strong Differential Sandwich Results for Bazilevic-Sakaguchi Type Functions Associated with Admissible Functions

2022-01-10T17:20:21+00:00

In the present article, we define a new family for holomorphic functions (so-called Bazilevic-Sakaguchi type functions) and determinate strong differential subordination and superordination results for these new functions by investigating certain suitable classes of admissible functions. These results are applied to obtain strong differential sandwich results.

Hankel Determinant Problem for q-strongly Close-to-Convex Functions

2022-01-11T16:12:50+00:00

In this paper, we introduce a new class $K_{q}(\alpha), \quad 0<\alpha \leq1, \quad 0<q<1, $ of normalized analytic functions $f $ such that $\big|\arg\frac{D_qf(z)}{D_qg(z)}\big| \leq \alpha \frac{\pi}{2},$ where $g$ is convex univalent in $E= \{z: |z|<1\} $ and $D_qf $ is the $q$-derivative of $f $ defined as:
$$D_qf(z)= \frac{f(z)-f(qz)}{(1-q)z}, \quad z\neq0\quad D_qf(0)= f^{\prime}(0). $$
The problem of growth of the Hankel determinant $H_n(k) $ for the class $K_q(\alpha) $ is investigated. Some known interesting results are pointed out as applications of the main results.

Generating Functions of Binary Products of Tribonacci and Tribonacci Lucas Polynomials and Special Numbers

2022-01-16T15:55:59+00:00

In this paper, we introduce a new operator defined in this paper, we give some new generating functions of binary products of Tribonacci and Tribonacci Lucas polynomials and special numbers.

Fekete-Szegö Problem for Certain New Family of Bi-Univalent Functions

2022-01-17T15:48:25+00:00

In current effort, by making use of the principle of subordination, we introduce and study a new family of holomorphic and bi-univalent functions which are defined in open unit disk and solve Fekete-Szegö problem for functions which belong to this family.

Bipolar Complex Intuitionistic Fuzzy Sets

2022-01-20T14:29:56+00:00

The primary motivation behind this paper is to present a brief overview of the bipolar complex intuitionistic fuzzy sets (in short BCIFS) which is an extension of bipolar intuitionistic fuzzy set theory.