Zobrazeno 1 - 10
of 237
pro vyhledávání: '"bi-univalent function"'
Publikováno v:
International Journal of Mathematical, Engineering and Management Sciences, Vol 9, Iss 5, Pp 1226-1239 (2024)
The Hankel determinant, which plays a significant role in the theory of univalent functions, is investigated here in the context of bi-univalent analytic functions. Specifically, this paper is dedicated to deriving an upper-bound estimate for the sec
Externí odkaz:
https://doaj.org/article/b12ea64328af4a8bbbc5104f0c7c053f
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 26983-26999 (2024)
Our aim was to develop a new class of bi starlike functions by utilizing the concept of subordination, driven by the idea of multiplicative calculus, specifically multiplicative derivatives. Several restrictions were imposed, which were indeed strict
Externí odkaz:
https://doaj.org/article/45fb97a1d09b4800bfdbb88b167ed1e8
Publikováno v:
Arab Journal of Basic and Applied Sciences, Vol 31, Iss 1, Pp 518-526 (2024)
Special functions and special polynomials have been used and studied widely in the context of Geometric function theory of Complex Analysis by the many authors. Here, in our present investigations, making use of the convolution, we first introduce a
Externí odkaz:
https://doaj.org/article/0d1bc793accf431987f6abd3db0bdde4
Autor:
Hari Mohan Srivastava, Pishtiwan Othman Sabir, Sevtap Sümer Eker, Abbas Kareem Wanas, Pshtiwan Othman Mohammed, Nejmeddine Chorfi, Dumitru Baleanu
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-18 (2024)
Abstract The Ruscheweyh derivative operator is used in this paper to introduce and investigate interesting general subclasses of the function class Σ m $\Sigma_{m}$ of m-fold symmetric bi-univalent analytic functions. Estimates of the initial Taylor
Externí odkaz:
https://doaj.org/article/2353b06169394b3a92b0b875627bc65e
Autor:
Muajebah Hidan, Abbas Kareem Wanas, Faiz Chaseb Khudher, Gangadharan Murugusundaramoorthy, Mohamed Abdalla
Publikováno v:
AIMS Mathematics, Vol 9, Iss 4, Pp 8134-8147 (2024)
The aim of this work is to introduce two families, $ \mathcal{B}_{\Sigma}(\wp; \vartheta) $ and $ \mathcal{O}_{\Sigma}(\varkappa; \vartheta) $, of holomorphic and bi-univalent functions involving the Bazilevič functions and the Ozaki-close-to-convex
Externí odkaz:
https://doaj.org/article/071ebf2a55914d0da33dbda4867a9576
Publikováno v:
Acta Universitatis Sapientiae: Mathematica, Vol 15, Iss 1, Pp 198-212 (2023)
In this paper, we introduce and investigate a new family, denoted by 𝒲Σsc (λ, η, δ, r), of normalized holomorphic and bi-univalent functions with respect to symmetric conjugate points, defined in 𝕌, by making use the Borel distribution seri
Externí odkaz:
https://doaj.org/article/bd5b922abc8b434b8d9b328c49b8188b
Publikováno v:
Journal of Mahani Mathematical Research, Vol 12, Iss 2, Pp 431-441 (2023)
In this paper, we introduce a newly defined subclass $\mathcal{S}_{\Sigma}(\vartheta,\gamma,\eta;\varphi) $ of bi-univalent functions by using the Tremblay differential operator satisfying subordinate conditions in the unit disk. Moreover, we use the
Externí odkaz:
https://doaj.org/article/16d78dbbb0aa4b6d8041270868c0d7c9
Autor:
Sheza M. El-Deeb, Serap Bulut
Publikováno v:
Mathematica Bohemica, Vol 148, Iss 1, Pp 49-64 (2023)
We introduce a new class of bi-univalent functions defined in the open unit disc and connected with a $q$-convolution. We find estimates for the general Taylor-Maclaurin coefficients of the functions in this class by using Faber polynomial expansions
Externí odkaz:
https://doaj.org/article/a4c6d900cb81402c9ad2e547e2494cc7
Autor:
Semh Kadhim Gebur, Waggas Galib Atshan
Publikováno v:
Symmetry, Vol 16, Iss 5, p 530 (2024)
Orthogonal polynomials have been widely employed by renowned authors within the context of geometric function theory. This study is driven by prior research and aims to address the —Fekete-Szegö problem. Additionally, we provide bound estimates fo
Externí odkaz:
https://doaj.org/article/a64b3ce549074d5a8947b3b01afd70b7
Autor:
Kaliappan Vijaya, Gangadharan Murugusundaramoorthy, Daniel Breaz, Georgia Irina Oros, Sheza M. El-Deeb
Publikováno v:
Fractal and Fractional, Vol 8, Iss 4, p 220 (2024)
The focus of the present work is on the establishment and investigation of the coefficient estimates of two new subclasses of bi-close-to-convex functions and bi-concave functions; these are of an Ozaki type and involve a modified Caputo’s fraction
Externí odkaz:
https://doaj.org/article/0f422a739b0e40849f46287173156a2f