Results 21 to 30 of about 1,040 (124)

Hankel Determinant for a Class of Analytic Functions Related with Lemniscate of Bernoulli [PDF]

International Journal of Analysis and Applications, 2014
The object of the present investigation is to solve Fekete-Szegö problem and determine the sharp upper bound to the second Hankel determinant for a new class R of analytic functions in the unit disk.
Ashok Kumar Sahoo, Jagannath Patel
doaj   +4 more sources

The Fekete-Szegö problem for a general class of bi-univalent functions satisfying subordinate conditions [PDF]

Sahand Communications in Mathematical Analysis, 2017
In this work, we obtain the Fekete-Szegö inequalities for the class $P_{Sigma }left( lambda ,phi right) $ of bi-univalent functions. The results presented in this paper improve the recent work of Prema and Keerthi [11].
Şahsene Altınkaya, Sibel Yalҫın
doaj   +2 more sources

The Fekete–Szegö problem for spirallike mappings and non-linear resolvents in Banach spaces [PDF]

, 2022
We study the Fekete–Szegö problem on the open unit ball of a complex Banach space. Namely, the Fekete–Szegö inequalities are proved for the class of spirallike mappings relative to an arbitrary strongly accretive operator, and some of its subclasses ...
JACOBZON, Fiana, ELIN, Mark
core   +2 more sources

Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator

International Journal of Mathematics and Mathematical Sciences, Volume 2023, Issue 1, 2023., 2023
In this paper, we introduce and investigate a class of biunivalent functions, denoted by Hn,r,α, that depends on the Ruscheweyh operator and defined by means of Horadam polynomials. For functions in this class, we derive the estimations for the initial Taylor–Maclaurin coefficients |a2| and |a3|.
Waleed Al-Rawashdeh, Teodor Bulboaca
wiley   +1 more source

The Sharp Upper Bounds of the Hankel Determinant on Logarithmic Coefficients for Certain Analytic Functions Connected with Eight‐Shaped Domains

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The present study’s intention is to produce exact estimations of some problems involving logarithmic coefficients for functions belonging to the considered subcollection BTsin of the bounded turning class. Furthermore, for the class BTsin, we look into the accurate bounds of the Zalcman inequality, Fekete‐Szegö inequality along with D21,Gg/2 and D22,Gg/
Pongsakorn Sunthrayuth, Naveed Iqbal, Muhammad Naeem, Yousef Jawarneh, Sallieu K. Samura, Mohsan Raza   +5 more
wiley   +1 more source

The Second Hankel Determinant of Logarithmic Coefficients for Starlike and Convex Functions Involving Four‐Leaf‐Shaped Domain

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this particular research article, we take an analytic function Q4L=15616+/z+/z5, which makes a four‐leaf‐shaped image domain. Using this specific function, two subclasses, S4L∗ and C4L, of starlike and convex functions will be defined. For these classes, our aim is to find some sharp bounds of inequalities that consist of logarithmic coefficients ...
Azzh Saad Alshehry, Rasool Shah, Abdul Bariq, Sarfraz Nawaz Malik   +3 more
wiley   +1 more source

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, Mirajul Haq, Luminiţa-Ioana Cotîrlă, Georgia Irina Oros, Mohammed S. Abdo   +4 more
wiley   +1 more source

Applications of q‐Symmetric Derivative Operator to the Subclass of Analytic and Bi‐Univalent Functions Involving the Faber Polynomial Coefficients

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
In this paper, using the basic concepts of symmetric q‐calculus operator theory, we define a symmetric q‐difference operator for m‐fold symmetric functions. By considering this operator, we define a new subclass ℛb(φ, m, q) of m‐fold symmetric bi‐univalent functions in open unit disk U. As in applications of Faber polynomial expansions for fm ∈ ℛb(φ, m,
Mohammad Faisal Khan, Shahid Khan, Nazar Khan, Jihad Younis, Bilal Khan, Muhammad Rashid   +5 more
wiley   +1 more source

On the Fekete–Szegö problem for concave univalent functions [PDF]

, 2011
We consider the Fekete–Szegö problem with real parameter λ for the class Co(α) of concave univalent ...
Bhowmik, B, Bhowmik, B., Wirths, K.-J., Wirths, KJ, K.-J. Wirths, S. Ponnusamy, Ponnusamy, S, B. Bhowmik, Ponnusamy, S.   +8 more
core   +1 more source

Fekete–Szegö Problems for Certain Classes of Meromorphic Functions Involving q‐Al‐Oboudi Differential Operator

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we introduce a new derivative operator involving q‐Al‐Oboudi differential operator for meromorphic functions. By using this new operator, we define a new subclass of meromorphic functions and obtain the Fekete–Szegő inequalities.
M.K. Aouf, Fatma Z. El-Emam, Xiaolong Qin   +2 more
wiley   +1 more source