An integral operator associated with the Hurwitz–Lerch Zeta function and differential subordination

HM Srivastava, AA Attiya - Integral Transforms and special …, 2007 - Taylor & Francis
The main object of this article is to introduce and investigate an integral operator J s, b (f)
defined, by using the Hurwitz–Lerch Zeta function, on the various subclasses of the class of …

[HTML][HTML] Geometric Properties of Certain Classes of Analytic Functions Associated with a q-Integral Operator

S Mahmood, N Raza, ESA AbuJarad, G Srivastava… - Symmetry, 2019 - mdpi.com
This article presents certain families of analytic functions regarding q-starlikeness and q-
convexity of complex order γ (γ∈ C\0). This introduced aq-integral operator and certain …

Initial coefficient estimates and Fekete–Szegö inequalities for new families of bi-univalent functions governed by (p− q)-Wanas operator

AK Wanas, LI Cotîrlǎ - Symmetry, 2021 - mdpi.com
The motivation of the present article is to define the (p− q)-Wanas operator in geometric
function theory by the symmetric nature of quantum calculus. We also initiate and explore …

Some subclasses of p-valent -uniformly type q-starlike and q-convex functions defined by using a certain generalized q-Bernardi integral operator

HM Srivastava, SH Hadi, M Darus - Revista de la Real Academia de …, 2023 - Springer
In this article, we introduce and investigate a generalized q-Bernardi integral operator (or (p,
q)-Bernardi integral operator) for analytic and p-valent (or multivalent) functions. By using …

[HTML][HTML] Fuzzy differential subordination for classes of admissible functions defined by a class of operators

EE Ali, M Vivas-Cortez, RM El-Ashwah - Fractal and Fractional, 2024 - mdpi.com
This paper's findings are related to geometric function theory (GFT). We employ one of the
most recent methods in this area, the fuzzy admissible functions methodology, which is …

Blaschke transform-based Weight Soft Voting Denoise Method and its applications in gear fault diagnosis

X Zheng, Y Yang, N Hu, Z Cheng, J Cheng - Mechanical Systems and …, 2024 - Elsevier
Hardy space is a distinctive space of holomorphic functions on the unit disk, with far-
reaching implications in mathematical analysis, control theory, and scattering theory due to …

Some geometric properties of multivalent functions associated with a new generalized q-Mittag-Leffler function

SH Hadi, M Darus, JR Lee - AIMS Mathematics, 2022 - scholarworks.bwise.kr
In this article, a new generalized q-Mittag-Leffler function is introduced and investigated.
Motivated by the newly defined function and using the concept of differential subordination …

A new class of analytic functions defined by means of a convolution operator involving the Hurwitz–Lerch Zeta function

D Răducanu, HM Srivastava - Integral Transforms and Special …, 2007 - Taylor & Francis
In this paper, we investigate a new class of analytic functions defined by the convolution
operator J s, b (f) involving the Hurwitz–Lerch Zeta function, which was introduced recently …

[HTML][HTML] On certain subclasses of meromorphic functions associated with certain integral operators

AY Lashin - Computers & Mathematics with Applications, 2010 - Elsevier
Let Σ denote the class of functions of the form f (z)= 1z+∑ k= 1∞ akzk which are analytic in
0<| z|< 1. Two new integral operators Pβα and Qβα defined on Σ are introduced. This paper …

[HTML][HTML] Applications of (M,N)-Lucas Polynomials on a Certain Family of Bi-Univalent Functions

AK Wanas, LI Cotîrlă - Mathematics, 2022 - mdpi.com
In the current article, making use of certain operator, we initiate and explore a certain family
W Σ (λ, γ, σ, δ, α, β, p, q; h) of holomorphic and bi-univalent functions in the open unit disk D …