Results 71 to 80 of about 664 (120)

An Application of Liouville–Caputo-Type Fractional Derivatives on Certain Subclasses of Bi-Univalent Functions

Fractal and Fractional
In this study, we present two novel subclasses of bi-univalent functions defined in the open unit disk, utilizing Liouville–Caputo fractional derivatives.
Ibtisam Aldawish, Hari M. Srivastava, Sheza M. El-Deeb, Gangadharan Murugusundaramoorthy, Kaliappan Vijaya   +4 more
doaj   +1 more source

On a Subclass of Harmonic Convex Functions of Complex Order

International Journal of Mathematics and Mathematical Sciences, 2012
We introduce and study a subclass of harmonic convex functions of complex order. Coefficient bounds, extreme points, distortion bounds, convolution conditions, and convex combination are determined for functions in this class.
N. Magesh, S. Mayilvaganan
doaj   +1 more source

Quantum Doeblin Coefficients: A Simple Upper Bound on Contraction Coefficients

2024 IEEE International Symposium on Information Theory (ISIT)
Contraction coefficients give a quantitative strengthening of the data processing inequality. As such, they have many natural applications whenever closer analysis of information processing is required. However, it is often challenging to calculate these coefficients. As a remedy we discuss a quantum generalization of Doeblin coefficients.
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A q-Rogers–Ramanujan-based characterization of q-bi-bounded turning functions

Demonstratio Mathematica
This study investigates the second Hankel determinant for a specific class of functions associated with the q-Rogers–Ramanujan polynomial. To accomplish this, we introduce a new subclass of q-bounded turning functions related to the q-Rogers–Ramanujan ...
Khan Bilal, Shaba Timilehin Gideon, Araci Serkan, Adebesin Babatunde Olufemi, Usta Fuat   +4 more
doaj   +1 more source

Initial Coefficient Bounds for Bi-Close-to-Convex Classes of n-Fold-Symmetric Bi-Univalent Functions

Axioms
In this article, the strong class of bi-close-to-convex functions of order α and β in n-fold symmetric bi-univalent functions, which is the subclass of σ, is introduced.
P. Gurusamy, M. Çağlar, L. I. Cotirla, S. Sivasubramanian   +3 more
doaj   +1 more source

Growth theorems and coefficient bounds for g-starlike mappings of complex order λ

Open Mathematics
Let f be a g-starlike mapping of complex order λ such that x = 0 is a zero of order k + 1 of f(x) − x. By utilizing the geometric properties of f, we characterize its growth theorems and coefficient bounds.
Zhang Xiaofei, Han Wei
doaj   +1 more source

On Sharp Coefficients and Hankel Determinants for a Novel Class of Analytic Functions

Axioms
In this article, a new subclass of starlike functions is defined by using the technique of subordination and introducing a novel generalized domain. This domain is obtained by taking the composition of trigonometric sine function and the well known curve
Dong Liu, Adeel Ahmad, Huma Ikhlas, Saqib Hussain, Saima Noor, Huo Tang   +5 more
doaj   +1 more source

Initial Coefficient Bounds of Convex Functions Related to Pascal Snail Function

Journal of Mathematics
For −1≤λ≤1, let Cλ be a subclass of convex functions associated with the Pascal snail function, analytically defined by the subordination relation, 1+τf″τ/f′τ≺1/1−λτ.
Arooj Fatima, Umar Raza, Afis Saliu, Tanweer Sohail   +3 more
doaj   +1 more source

Simplified Lower Bounds for Polynomials with Algebraic Coefficients

Journal of Complexity, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Coefficient Problem for Bounded Schlicht Functions [PDF]

Proceedings of the National Academy of Sciences, 1949
openaire   +2 more sources