Zobrazeno 1 - 10
of 605
pro vyhledávání: '"Coefficient bounds"'
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
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
Publikováno v:
Axioms, Vol 13, Iss 7, p 442 (2024)
Let Scos* denote the class of normalized analytic functions f in the open unit disk D satisfying the subordination zf′(z)f(z)≺cosz. In the first result of this article, we find the sharp upper bounds for the initial coefficients a3, a4 and a5 and
Externí odkaz:
https://doaj.org/article/05ba36aed035412096facb46bb62b275
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
Autor:
Sunday Olatunji
Publikováno v:
Journal of Mahani Mathematical Research, Vol 12, Iss 2, Pp 179-186 (2023)
The numerical tools that have outshinning many others in the history of Geometric Function Theory (GFT) are the Chebyshev and Gegenbauer polynomials in the present time. Recently, Gegenbauer polynomials have been used to define several subclasses of
Externí odkaz:
https://doaj.org/article/7dd4708f873e4fe2adb6b02659d8e9bb
Hankel determinant for certain new classes of analytic functions associated the activation functions
Publikováno v:
Heliyon, Vol 9, Iss 11, Pp e21449- (2023)
In this article, we introduce two new classes of analytic functions Jtanh and JSG which are associated with the activation functions and defined by the ratio of analytic representations of convex and starlike functions. For functions in these classes
Externí odkaz:
https://doaj.org/article/f7f4d5e814f342b5994fca2e7fe7b25a
Autor:
Daniel Breaz, Luminiţa-Ioana Cotîrlă
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-13 (2023)
Abstract The objective of this paper is to introduce new classes of m-fold symmetric bi-univalent functions. We discuss estimates on the Taylor–Maclaurin coefficients | a m + 1 | $|a_{m+1}|$ and | a 2 m + 1 | $|a_{2m+1}|$ , and the Fekete–Szegő
Externí odkaz:
https://doaj.org/article/0ef2865f08234626ba02154c5c20bfea
Autor:
Hari Mohan Srivastava, Timilehin Gideon Shaba, Gangadharan Murugusundaramoorthy, Abbas Kareem Wanas, Georgia Irina Oros
Publikováno v:
AIMS Mathematics, Vol 8, Iss 1, Pp 340-360 (2023)
In this paper, we introduce and study a new subclass of normalized functions that are analytic and univalent in the open unit disk $ \mathbb{U} = \{z:z\in \mathcal{C}\; \; \text{and}\; \; |z| < 1\}, $ which satisfies the following geometric criterion
Externí odkaz:
https://doaj.org/article/16c9394bf0594e6082f939250d011d18
Akademický článek
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Publikováno v:
Symmetry, Vol 15, Iss 10, p 1837 (2023)
The basic aspect of the research on coefficient problems for numerous families of univalent functions is to describe the coefficients of functions in a specific family by the coefficients of the Carathéodory functions. Thus, in utilizing the inequal
Externí odkaz:
https://doaj.org/article/94eaf9ed5bad49a99d25f876417582df