Results 1 to 10 of about 113 (64)
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.
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On Harmonic Univalent Functions Defined by Dziok-Srivastava Operator
Tikrit Journal of Pure Science, 2022 The purpose of this work is to present a class of harmonic univalent functions defined by the Dziok-Srivastava operator. Some geometric properties like coefficients conditions, distortion theorem, convolution (Hadamard product), convex combination and ...
Mays S. Abdul Ameer +2 more
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Mathematics, 2023 Fuzzy set theory, introduced by Zadeh, gives an adaptable and logical solution to the provocation of introducing, evaluating, and opposing numerous sustainability scenarios.
Alina Alb Lupaş
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Study analytical function subordination properties by applying a novel linear operator [version 1; peer review: 2 approved] [PDF]
F1000ResearchBackground The study of theory for analytic univalent and multivalent functions is an old subject in mathematics, particularly in complex analysis, that has captivated a great deal of scholars owing to the sheer sophistication of its geometrical features
Maryam S. Majel, Mustafa I. Hameed
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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
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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
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Journal of Inequalities and Applications, 2007 The purpose of the present paper is to introduce several new classes of analytic functions defined by using the Choi-Saigo-Srivastava operator associated with the Dziok-Srivastava operator and to investigate various inclusion properties of these classes.
Nak Eun Cho, Oh Sang Kwon
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Some Subclasses of Spirallike Multivalent Functions Associated with a Differential Operator
Mathematics, 2022 In this paper we study convolution properties of spirallike multivalent functions defined by using a differential operator and higher order derivatives. Using convolution product relations we determine necessary and sufficient conditions for multivalent ...
Ekram Elsayed Ali +3 more
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Abstract and Applied Analysis, Volume 2020, Issue 1, 2020., 2020 The purpose of the present paper is to obtain some inclusion relation between various subclasses of harmonic univalent functions by applying certain convolution operators associated with Wright’s generalized hypergeometric functions.
Rajavadivelu Themangani +3 more
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