Results 51 to 60 of about 325 (120)
International Journal of Mathematics and Mathematical Sciences, 2019 The aim of this paper is to study certain subclasses of bi-univalent functions defined by generalized Sãlãgean differential operator related to shell-like curves connected with Fibonacci numbers.
Gurmeet Singh +2 more
doaj +1 more source
Axioms, 2022 The present paper introduces a new class of bi-univalent functions defined on a symmetric domain using Gegenbauer polynomials. For functions in this class, we have derived the estimates of the Taylor–Maclaurin coefficients, a2 and a3, and the Fekete ...
Mohamed Illafe +2 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
core +2 more sources
Effective Summation and Interpolation of Series by Self-Similar Root Approximants
, 2015 We describe a simple analytical method for effective summation of series, including divergent series. The method is based on self-similar approximation theory resulting in self-similar root approximants.
Gluzman, S., Yukalov, V. I.
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Mathematics, 2023 We utilize quasi-subordination to analyze and introduce several new classes, and we construct a new operator by combining the error function and q-convolution.
Sheza M. El-Deeb +1 more
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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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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
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this article, we have studied the class Ccos of normalized analytic functions f satisfying 1 + zf″(z)/f′(z)≺cos(z). We present the improved coefficient bounds and the Hankel determinants of fourth order for functions lying in the class Ccos. We also extended the same results for the inverse function.
Umar Raza +3 more
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
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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
wiley +1 more source