Results 11 to 20 of about 113 (68)
Certain properties of the Dziok–Srivastava operator [PDF]
Applied Mathematics and Computation, 2004 Making use of Hadamard product (or convolution), a certain linear operator \(H_{p,q,s}(\alpha _1)\) was recently introduced and studied in a series of papers by Dziok and Srivastava. In this paper, some other properties of the operator \(H_{p,q,s}(\alpha _1)\) are derived with the help of differential subordination.
Liu, Jinlin, Srivastava, H. M.
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New Subclasses of Biunivalent Functions Involving Dziok-Srivastava Operator [PDF]
ISRN Mathematical Analysis, 2013 We introduce two new subclasses of biunivalent functions which are defined by using the Dziok-Srivastava operator. Furthermore, we find estimates on the coefficients and for functions in these new subclasses.
M. K. Aouf +2 more
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A Subclass of Harmonic Univalent Functions Associated with -Analogue of Dziok-Srivastava Operator [PDF]
ISRN Mathematical Analysis, 2013 We study a class of complex-valued harmonic univalent functions using a generalized operator involving basic hypergeometric function. Precisely, we give a necessary and sufficient coefficient condition for functions in this class. Distortion bounds, extreme points, and neighborhood of such functions are also considered.
Huda Aldweby, Maslina Darus
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Classes of spirallike functions defined by the Dziok-Srivastava operator
Le Matematiche, 2014 Making use of the Dziok-Srivastava operator, we introduce two classes of analytic functions and investigate convolution properties, the necessary and sufficient condition, coefficient estimates and inclusion properties for these classes.
Tamer Seoudy
doaj +2 more sources
Differential sandwich theorems of symmetric points associated with Dziok-Srivastava operator
Le Matematiche, 2013 In this paper we obtain some applications of theory of differential subordination, superordination and sandwich results for the classes of symmetric points associated with Dziok-Srivastava operator.
Rabba M. El-Ashwah +3 more
doaj +3 more sources
On certain subclass of meromorphic spirallike functions involving the hypergeometric function. [PDF]
ScientificWorldJournal, 2014 We introduce and investigate a new subclass Mm1(θ,λ,η) of meromorphic spirallike functions. Such results as integral representations, convolution properties, and coefficient estimates are proved. The results presented here would provide extensions of those given in earlier works. Several other results are also obtained.
Shi L, Wang ZG.
europepmc +2 more sources
Certain Properties of Multivalent Functions Associated with the Dziok-Srivastava Operator [PDF]
Journal of Mathematics, 2013 Summary: By making use of the techniques of the differential subordination, we derive certain properties of \(p\)-valent functions associated with the Dziok-Srivastava operator.
T. M. Seoudy
doaj +3 more sources
Bernardi Integral Operator and Its Application to the Fourth Hankel Determinant
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In recent years, the theory of operators got the attention of many authors due to its applications in different fields of sciences and engineering. In this paper, making use of the Bernardi integral operator, we define a new class of starlike functions associated with the sine functions.
Abid Khan +4 more
wiley +1 more source
Certain New Class of Harmonic Functions Involving Quantum Calculus
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 Here in this paper, we are using the concepts of q‐calculus operator theory associated with harmonic functions and define the q‐Noor integral operator for harmonic functions f∈H0. We investigate a new class SH0m,q,α of harmonic functions f∈H0. In this class, we prove a necessary and sufficient convolution condition for the functions f∈H0 and also we ...
Mohammad Faisal Khan, Teodor Bulboaca
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On q‐ANALOGUE of Differential Subordination Associated with Lemniscate of Bernoulli
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 This article comprises the study of differential subordination with analogue of q‐derivative. It includes the sufficient condition on γ for 1 + (γ∂zqh(z)/hn(z)) to be subordinated by (1 + Az/1 + Bz), −1 ≤ B < A ≤ 1, and implies that hz≺1+z, where h(z) is the analytic function in the open unit disk.
Mohsan Raza +4 more
wiley +1 more source