User profiles for Basem A. Frasin
Basem Aref FrasinProfessor, Department of Mathematics, Al al-Bayt University Verified email at aabu.edu.jo Cited by 3470 |
[HTML][HTML] New subclasses of bi-univalent functions
In this paper, we introduce two new subclasses of the function class Σ of bi-univalent
functions defined in the open unit disc. Furthermore, we find estimates on the coefficients| a�…
functions defined in the open unit disc. Furthermore, we find estimates on the coefficients| a�…
[PDF][PDF] Some properties of a linear operator involving generalized Mittag-Leffler function
This paper introduces a new class Tγ α, β, k (η) of analytic functions which is defined by means
of a linear operator involving generalized Mittag-Leffler function Hγ α, β, k (f). The results …
of a linear operator involving generalized Mittag-Leffler function Hγ α, β, k (f). The results …
[HTML][HTML] Generalization of partial sums of certain analytic and univalent functions
BA Frasin�- Applied Mathematics Letters, 2008 - Elsevier
Let ϕ(z) be a fixed analytic and univalent function of the form ϕ(z)=z+∑ k=2 ∞ c k z k and H
ϕ (c k ,δ) be the subclass consisting of analytic and univalent functions f(z) which satisfy the …
ϕ (c k ,δ) be the subclass consisting of analytic and univalent functions f(z) which satisfy the …
[HTML][HTML] An avant-Garde construction for subclasses of analytic bi-univalent functions
The zero-truncated Poisson distribution is an important and appropriate model for many real-world
applications. Here, we exploit the zero-truncated Poisson distribution probabilities to …
applications. Here, we exploit the zero-truncated Poisson distribution probabilities to …
[HTML][HTML] Exploiting the Pascal distribution series and Gegenbauer polynomials to construct and study a new subclass of analytic bi-univalent functions
In the present analysis, we aim to construct a new subclass of analytic bi-univalent functions
defined on symmetric domain by means of the Pascal distribution series and Gegenbauer …
defined on symmetric domain by means of the Pascal distribution series and Gegenbauer …
Fekete‐Szeg� Inequality for Analytic and Biunivalent Functions Subordinate to Gegenbauer Polynomials
In the present paper, a subclass of analytic and biunivalent functions by means of Gegenbauer
polynomials is introduced. Certain coefficients bound for functions belonging to this …
polynomials is introduced. Certain coefficients bound for functions belonging to this …
[HTML][HTML] An application of Miller–Ross-type Poisson distribution on certain subclasses of bi-univalent functions subordinate to Gegenbauer polynomials
The Miller–Ross-type Poisson distribution is an important model for plenty of real-world
applications. In the present analysis, we study and introduce a new class of bi-univalent …
applications. In the present analysis, we study and introduce a new class of bi-univalent …
[HTML][HTML] A Special Family of m-Fold Symmetric Bi-Univalent Functions Satisfying Subordination Condition
In this paper, we introduce a special family M σ m ( τ , ν , η , φ ) of the function family σ m of m-fold
symmetric bi-univalent functions defined in the open unit disc D and obtain estimates of …
symmetric bi-univalent functions defined in the open unit disc D and obtain estimates of …
Subclasses of starlike and convex functions associated with Pascal distribution series
In the present paper, we determine new characterisations of the subclasses ∗ (α, β;
γ) and (α, β; γ) of analytic functions associated with Pascal distribution series ${\Phi…
γ) and (α, β; γ) of analytic functions associated with Pascal distribution series ${\Phi…
[HTML][HTML] Fekete–Szeg� Functional Problem for a Special Family of m-Fold Symmetric Bi-Univalent Functions
In the current work, we introduce a special family of the function family of analytic and m-fold
symmetric bi-univalent functions and obtain estimates of the Taylor–Maclaurin coefficients | …
symmetric bi-univalent functions and obtain estimates of the Taylor–Maclaurin coefficients | …