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Properties of Differential Subordination and Superordination for Multivalent Functions Associated with the Convolution Operators

open access: yesAxioms, 2023
Using convolution (or Hadamard product), we define the El-Ashwah and Drbuk linear operator, which is a multivalent function in the unit disk U=w ...
Luminiţa-Ioana Cotîrlă   +1 more
doaj   +4 more sources

Certain New Subclass of Multivalent Q-Starlike Functions Associated with Q-Symmetric Calculus

open access: yesFractal and Fractional, 2022
In our present investigation, we extend the idea of q-symmetric derivative operators to multivalent functions and then define a new subclass of multivalent q-starlike functions.
Mohammad Faisal Khan   +2 more
doaj   +4 more sources

On Certain Multivalent Functions [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
Let 𝒮*(p,α) be the class of functions f(z) which are analytic and p-valently starlike of order α in the open unit disk E. The object of the present paper is to derive an interesting condition for f(z) to be in the class 𝒮*(p,α).
Mamoru Nunokawa   +5 more
doaj   +4 more sources

Some Subordination Results Defined by Using the Symmetric q-Differential Operator for Multivalent Functions

open access: yesAxioms, 2023
In this article, we use the concept of symmetric q-calculus and convolution in order to define a symmetric q-differential operator for multivalent functions. This operator is an extension of the classical Ruscheweyh differential operator.
Saima Noor   +2 more
doaj   +2 more sources

Defining the multivalent functions of CTCF from chromatin state and three-dimensional chromatin interactions [PDF]

open access: yesNucleic Acids Res, 2016
CCCTC-binding factor (CTCF) is a multi-functional protein that is assigned various, even contradictory roles in the genome. High-throughput sequencing-based technologies such as ChIP-seq and Hi-C provided us the opportunity to assess the multivalent ...
Yiming Lu   +4 more
semanticscholar   +2 more sources

Certain Subclasses of Analytic Multivalent Functions Associated with Petal-Shape Domain

open access: yesAxioms, 2021
In this article, we introduce a new class of multivalent analytic functions associated with petal-shape region. Furthermore, some useful properties, such as the Fekete–Szegö inequality, and their consequences for some special cases are discussed.
Bakhtiar Ahmad   +2 more
exaly   +2 more sources

A new family of multivalent functions defined by certain forms of the quantum integral operator

open access: yesDemonstratio Mathematica
In this work, using the concepts of qq-calculus, we first define the qq-Jung-Kim-Srivastava and qq-Bernardi integral operators for multivalent functions. Then, we use these operators to establish the generalized integral operator ℬq,p−m−λf(z){{\mathcal{ {
Khan Ajmal   +5 more
doaj   +2 more sources

Conformable differential operators for meromorphically multivalent functions

open access: yesConcrete Operators, 2021
We define a conformable diff-integral operator for a class of meromorphically multivalent functions. We show that this conformable operator adheres to the semigroup property.
Ibrahim Rabha W.   +2 more
doaj   +2 more sources

The Properties of Meromorphic Multivalent q-Starlike Functions in the Janowski Domain

open access: yesFractal and Fractional, 2023
Many researchers have defined the q-analogous of differential and integral operators for analytic functions using the concept of quantum calculus in the geometric function theory.
Isra Al-Shbeil   +5 more
doaj   +2 more sources

A certain q-Ruscheweyh type derivative operator and its applications involving multivalent functions

open access: yesAdvances in Difference Equations, 2021
In the present paper, by using the concept of convolution and q-calculus, we define a certain q-derivative (or q-difference) operator for analytic and multivalent (or p-valent) functions.
Bilal Khan   +5 more
doaj   +2 more sources

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