Results 51 to 60 of about 3,096,282 (119)
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In geometric function theory and complex analysis, analytic functions exhibiting geometric symmetry play a fundamental role. However, investigations concerning multileaf domains, particularly those with fivefold rotational symmetry, have been relatively limited.
Suad Al-Mayyahi +4 more
wiley +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.A challenging task in studying geometric function theory is determining the sharp estimates for coefficient‐related results that come up in the Taylor series of analytic univalent functions. In the current paper, we attempt to establish some estimates of results concerning coefficient inequalities for the class of convex functions with respect to ...
Isra Al-Shbeil +7 more
wiley +1 more source
Fekete-Szegö Inequalities of a Subclass of Multivalent Analytic Functions
, 2016 The main object of this paper is to study Fekete-Szegö problem for a certain subclass of p - valent analytic functions. Fekete-Szegö inequality of several classes are obtained as special cases from our results.
Selvaraj C. +2 more
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Fekete–Szegö problem for starlike and convex functions of complex order [PDF]
, 2010 For nonzero complex b let Fn(b) denote the class of normalized univalent functions f satisfying Re [1+(z(Dnf)′(z)/Dnf(z)−1)/b]>0 in the unit disk U, where Dnf denotes the Ruscheweyh derivative of f.
Kanas, S., Darwish, H.E.
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Journal of Mathematics, Volume 2026, Issue 1, 2026.We define in this paper a new class of normalized bi‐univalent functions through Horadam polynomials. The main aim of this paper is to provide sharp estimates for the second and third Taylor–Maclaurin coefficients of functions in this new class. We also obtain the Fekete–Szegö inequality for these functions.
Musthafa Ibrahim +4 more
wiley +1 more source
, 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
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9241-9252, 30 May 2025.ABSTRACT The motivation of this paper is to explore and generalize Sakaguchi‐type functions, which play a significant role in geometric function theory. In this context, we introduce four new classes of analytic univalent functions: ℑΨ,tb,α,ρ,ℑϑb,α,ρ,ℑΘ,mb,α,ρ$$ {\Im}_{\Psi, t}^{b,\alpha, \rho },\kern0.3em {\Im}_{\vartheta}^{b,\alpha, \rho },\kern0.3em
Arzu Akgül
wiley +1 more source
Coefficient Estimates of New Families of Analytic Functions Associated with q-Hermite Polynomials
Axioms, 2023 In this paper, we introduce two new subclasses of bi-univalent functions using the q-Hermite polynomials. Furthermore, we establish the bounds of the initial coefficients υ2, υ3, and υ4 of the Taylor–Maclaurin series and that of the Fekete–Szegö ...
Isra Al-Shbeil +3 more
doaj +1 more source
Subordination Properties of Bi‐Univalent Functions Involving Horadam Polynomials
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this research, we investigate a family of q‐extensions defined on an open unit disk, which is based on bi‐univalent functions associated with differential subordination. Next, we define certain classes of bi‐univalent functions using generalized Horadam polynomials.
Ebrahim Amini +2 more
wiley +1 more source
Fekete-Szegö Inequality for Universally Prestarlike Functions [PDF]
, 2010 MSC 2010: 30C45The universally prestarlike functions of order α ≤ 1 in the slit domain Λ = C [1;∞) have been recently introduced by S. Ruscheweyh. This notion generalizes the corresponding one for functions in the unit disk Δ (and other circular domains ...
Shanmugam, T., Lourthu Mary, J.
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