Results 21 to 30 of about 1,039 (130)

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

open access: yesInternational 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]

open access: yesSahand 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]

open access: yes, 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

On the Fekete–Szegö Problem for Meromorphic Functions Associated with p,q-Wright Type Hypergeometric Function [PDF]

open access: yes, 2021
Making use of a post-quantum derivative operator, we define two classes of meromorphic analytic functions. For the considered family of functions, we aim to investigate the sharp bounds’ values in the case of the Fekete–Szegö problem.
Adriana Cătaş
core   +1 more source

Bernardi Integral Operator and Its Application to the Fourth Hankel Determinant

open access: yesJournal 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
wiley   +1 more source

Hankel and Symmetric Toeplitz Determinants for a New Subclass of q-Starlike Functions

open access: yesFractal and Fractional, 2022
This paper considers the basic concepts of q-calculus and the principle of subordination. We define a new subclass of q-starlike functions related to the Salagean q-differential operator.
Isra Al-shbeil   +6 more
doaj   +1 more source

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

open access: yesMathematical 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   +5 more
wiley   +1 more source

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

open access: yes, 2011
We consider the Fekete–Szegö problem with real parameter λ for the class Co(α) of concave univalent ...
Bhowmik, B   +8 more
core   +1 more source

Coefficient Estimates for Bi-Univalent Functions in Connection with Symmetric Conjugate Points Related to Horadam Polynomial

open access: yesMathematics, 2020
In the current study, we construct a new subclass of bi-univalent functions with respect to symmetric conjugate points in the open disc E, described by Horadam polynomials. For this subclass, initial Maclaurin coefficient bounds are acquired.
S. Melike Aydoğan, Zeliha Karahüseyin
doaj   +1 more source

Fekete–Szegö Functional Problem for a Special Family of m-Fold Symmetric Bi-Univalent Functions

open access: yesMathematics, 2022
In the current work, we introduce a special family of the function family of analytic and m-fold symmetric bi-univalent functions and obtain estimates of the Taylor–Maclaurin coefficients |dm+1| and |d2m+1| for functions in the special family.
Sondekola Rudra Swamy   +2 more
doaj   +1 more source

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