A Differential Operator Associated with q-Raina Function

AA Attiya, RW Ibrahim, AM Albalahi, EE Ali, T Bulboacă - Symmetry, 2022 - mdpi.com
The topics studied in the geometric function theory of one variable functions are connected
with the concept of Symmetry because for some special cases the analytic functions map the …

Some properties of Bazilevič functions involving Srivastava–Tomovski operator

D Breaz, KR Karthikeyan, E Umadevi, A Senguttuvan - Axioms, 2022 - mdpi.com
We introduce a new class of Bazilevič functions involving the Srivastava–Tomovski
generalization of the Mittag-Leffler function. The family of functions introduced here is …

Multivalent functions and differential operator extended by the quantum calculus

SB Hadid, RW Ibrahim, S Momani - Fractal and Fractional, 2022 - mdpi.com
We used the concept of quantum calculus (Jackson's calculus) in a recent note to develop
an extended class of multivalent functions on the open unit disk. Convexity and star-likeness …

Certain quantum operator related to generalized Mittag–Leffler function

MF Yassen, AA Attiya - Mathematics, 2023 - mdpi.com
In this paper, we present a novel class of analytic functions in the form h (z)= zp+∑ k= p+
1∞ akzk in the unit disk. These functions establish a connection between the extended …

Jackson differential operator associated with generalized Mittag–Leffler function

AA Attiya, MF Yassen, A Albaid - Fractal and Fractional, 2023 - mdpi.com
Quantum calculus plays a significant role in many different branches such as quantum
physics, hypergeometric series theory, and other physical phenomena. In our paper and …

Properties of Meromorphic Spiral‐Like Functions Associated with Symmetric Functions

D Breaz, LI Cotîrlă, E Umadevi… - Journal of Function …, 2022 - Wiley Online Library
To consolidate or adapt to many studies on meromorphic functions, we define a new
subclass of meromorphic functions of complex order involving a differential operator. The …

Fekete–Szegő and Zalcman Functional Estimates for Subclasses of Alpha-Convex Functions Related to Trigonometric Functions

K Marimuthu, U Jayaraman, T Bulboacă - Mathematics, 2024 - mdpi.com
In this study, we introduce the new subclasses, M α (sin) and M α (cos), of α-convex
functions associated with sine and cosine functions. First, we obtain the initial coefficient …

On classes of non-Carathéodory functions associated with a family of functions starlike in the direction of the real axis

KR Karthikeyan, NE Cho, G Murugusundaramoorthy - Axioms, 2022 - mdpi.com
In this paper, we introduce a new class of analytic functions subordinated by functions which
is not Carathéodory. We have obtained some interesting subordination properties, inclusion …

[PDF][PDF] Coefficient inequalities of a comprehensive subclass of analytic functions with respect to symmetric points

A Senguttuvan, D Mohankumar… - Malaysian Journal of …, 2022 - mjms.upm.edu.my
We have introduced a comprehensive subclass of analytic functions with respect to (j, k)-
symmetric points. We have obtained the interesting coefficient bounds for the newly defined …

Unified solution of some properties related to λ-pseudo starlike functions

M Ibrahim, KR Karthikeyan - Contemporary Mathematics, 2023 - ojs.wiserpub.com
To unify and extend the study of various subclasses of starlike and convex functions, here
we introduce a new subclass of λ-pseudo starlike symmetric functions. To add more …