Zobrazeno 1 - 10
of 910
pro vyhledávání: '"Bi-univalent functions"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 18034-18047 (2024)
In this paper, we introduced two novel subclasses of bi-univalent functions, $ \mathcal{M}_{\Sigma}(\alpha, \mathcal{B}(x, \xi)) $ and $ \mathcal{H}_{\Sigma}(\alpha, \mu, \mathcal{B}(x, \xi)) $, utilizing Lucas-Balancing polynomials. Within these fun
Externí odkaz:
https://doaj.org/article/3b9511b3f8e7475fbda758f54c6ebcca
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 17063-17075 (2024)
This study established upper bounds for the second and third coefficients of analytical and bi-univalent functions belonging to a family of particular classes of analytic functions utilizing $ q- $Ultraspherical polynomials under $ q- $Saigo's fracti
Externí odkaz:
https://doaj.org/article/821c837d4b4442db93901040176ba24b
Publikováno v:
AIMS Mathematics, Vol 9, Iss 5, Pp 11789-11804 (2024)
In this study, using the ideas of subordination and the quantum-difference operator, we established a new subclass $ \mathcal{S} ^{\ast }\left(\delta, \sigma, q\right) $ of $ q $-starlike functions and the subclass $ \mathcal{S}_{\Sigma }^{\ast }\lef
Externí odkaz:
https://doaj.org/article/16393596324342d1bcbb2352ca4d61f6
Autor:
Elumalai Muthaiyan
Publikováno v:
Sahand Communications in Mathematical Analysis, Vol 21, Iss 1, Pp 273-289 (2024)
On this study, two new subclasses of the function class $\Xi$ of bi-univalent functions of complex order defined in the open unit disc are introduced and investigated. These subclasses are connected to the Hohlov operator with $(\mathcal {P,Q})-$Luca
Externí odkaz:
https://doaj.org/article/ae0d77b1d705415aadf9b425ca32f352
Publikováno v:
Advances in the Theory of Nonlinear Analysis and its Applications, Vol 7, Iss 4, Pp 181-191 (2024)
The present paper introduces the novel subfamilies of regular and bi-univalent functions Σ. The prominent group of Fibonacci polynomial ˜Vn(x, y) is utilized with subordination between regular functions in order to shape these subfamilies. In addit
Externí odkaz:
https://doaj.org/article/79683153e5764ad88e4e7851fe19d578
Publikováno v:
Applied Mathematics in Science and Engineering, Vol 32, Iss 1 (2024)
Orthogonal q-polynomials, both new and old, have witnessed a huge and revived attention in recent years, because of their applications in many diverse areas of mathematics and other sciences. In Geometric Function Theory, different subclasses of anal
Externí odkaz:
https://doaj.org/article/7f7a31d498ee45ebb8aeed9771e99b9d
Publikováno v:
Heliyon, Vol 10, Iss 12, Pp e32359- (2024)
In this article, we make use of the concepts of subordination and the q-calculus theory to analyze a new class of analytic bi-univalent functions associated to the cardioid domain. Our main focus is to derive a sharp inequality for a newly defined cl
Externí odkaz:
https://doaj.org/article/5f0f6a39dd42494a9ca5ad4e1360242d
Autor:
Abdulmtalb Hussen
Publikováno v:
Heliyon, Vol 10, Iss 10, Pp e31469- (2024)
The Mittag-Leffler-type Borel distribution is widely recognized and utilized as a beneficial and pertinent model across numerous applications. This study presents a new subclass of normalized analytic bi-univalent functions that combines Gegenbauer p
Externí odkaz:
https://doaj.org/article/5d98070daf9948618aa96ef7909b6a33
Publikováno v:
Heliyon, Vol 10, Iss 7, Pp e28302- (2024)
Within the scope of this research, we introduce a novel category of bi-univalent functions. Horadam polynomials are utilized to characterize these functions by utilizing series from the Poisson distribution of the Miller-Ross type. Functions from the
Externí odkaz:
https://doaj.org/article/9289dc9b61834d618798009e24c396e8
Publikováno v:
Heliyon, Vol 10, Iss 7, Pp e28074- (2024)
In this article, we define and discuss some new subclasses of bi-univalent functions associated with Fibonacci numbers and shell-like curves. We estimate the first two Taylor-Maclaurin coefficients for functions belonging to these classes. We study t
Externí odkaz:
https://doaj.org/article/2870e455d06f499fad91f026cf5124d6