Results 1 to 10 of about 191 (66)

The Second Hankel Determinant Problem for a Class of Bi-Close-to-Convex Functions

Mathematics, 2019
The purpose of the present work is to determine a bound for the functional H 2 ( 2 ) = a 2 a 4 − a 3 2 for functions belonging to the class C Σ of bi-close-to-convex functions.
Nak Eun Cho, Ebrahim Analouei Adegani, Serap Bulut, Ahmad Motamednezhad   +3 more
doaj   +3 more sources

Properties of Spiral-Like Close-to-Convex Functions Associated with Conic Domains

Mathematics, 2019
In this paper, our aim is to define certain new classes of multivalently spiral-like, starlike, convex and the varied Mocanu-type functions, which are associated with conic domains.
Hari M. Srivastava, Nazar Khan, Maslina Darus, Muhammad Tariq Rahim, Qazi Zahoor Ahmad, Yousra Zeb   +5 more
doaj   +3 more sources

Upper Bound of the Third Hankel Determinant for a Subclass of Close-to-Convex Functions Associated with the Lemniscate of Bernoulli

Mathematics, 2019
In this paper, our aim is to define a new subclass of close-to-convex functions in the open unit disk U that are related with the right half of the lemniscate of Bernoulli.
Hari M. Srivastava, Qazi Zahoor Ahmad, Maslina Darus, Nazar Khan, Bilal Khan, Naveed Zaman, Hasrat Hussain Shah   +6 more
doaj   +3 more sources

New Criteria for Univalent‎, ‎Starlike‎, ‎Convex‎, ‎and Close-to-Convex Functions on the Unit Disk [PDF]

Mathematics Interdisciplinary Research, 2020
In the present paper, we introduce and investigate three interesting superclasses SD, SD* and KD of analytic, normalized and univalent functions in the open unit disk D.
Mohammad Reza Yasamian, Ali Ebadian, Mohammad Reza Foroutan   +2 more
doaj   +1 more source

Geometric Properties of a Certain Class of Mittag–Leffler-Type Functions

Fractal and Fractional, 2022
The main objective of this paper is to establish some sufficient conditions so that a class of normalized Mittag–Leffler-type functions satisfies several geometric properties such as starlikeness, convexity, close-to-convexity, and uniform convexity ...
Hari M. Srivastava, Anish Kumar, Sourav Das, Khaled Mehrez   +3 more
doaj   +1 more source

Subclasses of p-Valent Functions Associated with Linear q-Differential Borel Operator

Mathematics, 2023
The aim of the present paper is to introduce and study some new subclasses of p-valent functions by making use of a linear q-differential Borel operator.We also deduce some properties, such as inclusion relationships of the newly introduced classes and ...
Adriana Cătaş, Emilia-Rodica Borşa, Sheza M. El-Deeb   +2 more
doaj   +1 more source

Close-to-Convexity of q-Bessel–Wright Functions

Mathematics, 2022
In this paper, we aim to find sufficient conditions for the close-to-convexity of q-Bessel–Wright functions with respect to starlike functions, such as z1−z,z1−z2, and −log(1−z) are in the open unit disc. Some consequences related to our main results are
Muhey U. Din, Mohsan Raza, Qin Xin, Sibel Yalçin, Sarfraz Nawaz Malik   +4 more
doaj   +1 more source

A Criterion for Subfamilies of Multivalent Functions of Reciprocal Order with Respect to Symmetric Points

Fractal and Fractional, 2019
In the present research paper, our aim is to introduce a new subfamily of p-valent (multivalent) functions of reciprocal order. We investigate sufficiency criterion for such defined family.
Shahid Mahmood, Hari Mohan Srivastava, Muhammad Arif, Fazal Ghani, Eman S. A. AbuJarad   +4 more
doaj   +1 more source

On alpha-close-to-convex functions of order beta

International Journal of Mathematics and Mathematical Sciences, 1986
Let Mβ(α)[α≥0   and   β≥0] denote the class of all functionsf(z)=z+∑n=2∞anznanalytic in the unit disc U with f′(z)f(z)/z≠0 and which satisfy for z=reiθ∈U the condition ∫θ1θ2Re{(1−α)zf′(z)f(z)+α(1+zf″(z)f′(z))}dθ>−βπ for all θ2>θ1.
M. A. Nasr
doaj   +1 more source

Quasi-convex univalent functions

International Journal of Mathematics and Mathematical Sciences, 1980
In this paper, a new class of normalized univalent functions is introduced. The properties of this class and its relationship with some other subclasses of univalent functions are studied. The functions in this class are close-to-convex.
K. Inayat Noor, D. K. Thomas
doaj   +1 more source