Results 51 to 60 of about 439 (124)
Hankel Determinant for a Class of Analytic Functions Related with Lemniscate of Bernoulli
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
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On the Determinants for a Class of Analytic Function Using Sigmoid Beta‐Catas Operator
Journal of Function Spaces, Volume 2025, Issue 1, 2025.Geometric function theory (GFT) is the study of geometric properties of analytic functions. The cornerstone of GFT is the theory of univalent functions. Several related topics in GFT with various applications have been developed over the years, one of which includes the study of special functions.
Olubunmi A. Fadipe-Joseph +4 more
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Soft Riemann‐Hilbert problems and planar orthogonal polynomials
Communications on Pure and Applied Mathematics, Volume 77, Issue 4, Page 2413-2451, April 2024.Abstract Riemann‐Hilbert problems are jump problems for holomorphic functions along given interfaces. They arise in various contexts, for example, in the asymptotic study of certain nonlinear partial differential equations and in the asymptotic analysis of orthogonal polynomials. Matrix‐valued Riemann‐Hilbert problems were considered by Deift et al. in
Haakan Hedenmalm
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Properties of a Linear Operator Involving Lambert Series and Rabotnov Function
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.This work is an attempt to apply Lambert series in the theory of univalent functions. We first consider the Hadamard product of Rabotnov function and Lambert series with coefficients derived from the arithmetic function σ(n) to introduce a normalized linear operator JRα,βz.
Jamal Salah, Bao Q. Li
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Stochastic collocation on unstructured multivariate meshes
, 2015 Collocation has become a standard tool for approximation of parameterized systems in the uncertainty quantification (UQ) community. Techniques for least-squares regularization, compressive sampling recovery, and interpolatory reconstruction are becoming ...
Narayan, Akil, Zhou, Tao
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, 2020 Inequalities appear in various fields of natural science and engineering. Classical inequalities are still being improved and/or generalized by many researchers. That is, inequalities have been actively studied by mathematicians.
Furuichi, Shigeru
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Coefficient Bounds for q‐Noshiro Starlike Functions in Conic Region
Journal of Function Spaces, Volume 2024, Issue 1, 2024.We present and examine a new family of analytic functions that can be described by a q‐Ruscheweyh differential operator. We discuss several novel results, including coefficient inequalities and other noteworthy properties such as partial sums and radii of starlikeness.
V. Malathi, K. Vijaya, H. Ozlem Guney
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Mathematics, 2023 One of the challenging tasks in the study of function theory is how to obtain sharp estimates of coefficients that appear in the Taylor–Maclaurin series of analytic univalent functions, and for obtaining these bounds, researchers used the concepts of ...
Isra Al-Shbeil +4 more
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Coefficient, Distortion and Growth Inequalities for Certain Close-to-Convex Functions [PDF]
, 2011 In the present investigation, certain subclasses of close-to-convex functions are investigated. In particular, we obtain an estimate for the Fekete-Szeg\"o functional for functions belonging to the class, distortion, growth estimates and covering ...
AW Goodman +14 more
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Applications of a q-Salagean type operator on multivalent functions
Journal of Inequalities and Applications, 2018 In this paper, we introduce a new class k- US(q,γ,m,p) $\mathcal{US}(q,\gamma ,m,p)$, γ∈C∖{0} $\gamma \in\mathbb{C}\backslash \{0\}$, of multivalent functions using a newly defined q-analogue of a Salagean type differential operator.
Saqib Hussain +3 more
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