Results 11 to 20 of about 361,612 (282)

The Second Hankel Determinant Problem for a Class of Bi-Close-to-Convex Functions

Mathematics, 2019
The purpose of the present work is to determine a bound for the functional H 2 ( 2 ) = a 2 a 4 − a 3 2 for functions belonging to the class C Σ of bi-close-to-convex functions.
Nak Eun Cho, Ebrahim Analouei Adegani, Serap Bulut, Ahmad Motamednezhad   +3 more
doaj   +3 more sources

Upper Bound of the Third Hankel Determinant for a Subclass of Close-to-Convex Functions Associated with the Lemniscate of Bernoulli

Mathematics, 2019
In this paper, our aim is to define a new subclass of close-to-convex functions in the open unit disk U that are related with the right half of the lemniscate of Bernoulli.
Hari M. Srivastava, Qazi Zahoor Ahmad, Maslina Darus, Nazar Khan, Bilal Khan, Naveed Zaman, Hasrat Hussain Shah   +6 more
doaj   +3 more sources

Ozaki-Type Bi-Close-to-Convex and Bi-Concave Functions Involving a Modified Caputo’s Fractional Operator Linked with a Three-Leaf Function

Fractal and Fractional
The focus of the present work is on the establishment and investigation of the coefficient estimates of two new subclasses of bi-close-to-convex functions and bi-concave functions; these are of an Ozaki type and involve a modified Caputo’s fractional ...
Kaliappan Vijaya, Gangadharan Murugusundaramoorthy, Daniel Breaz, Georgia Irina Oros, Sheza M. El-Deeb   +4 more
doaj   +3 more sources

Normalized generalized Bessel function and its geometric properties

Journal of Inequalities and Applications, 2022
The normalization of the generalized Bessel functions U σ , r $\mathrm{U}_{\sigma,r}$ ( σ , r ∈ C ) $(\sigma,r\in \mathbb{C}\mathbbm{)}$ defined by U σ , r ( z ) = z + ∑ j = 1 ∞ ( − r ) j 4 j ( 1 ) j ( σ ) j z j + 1 $$\begin{aligned} \mathrm{U}_{\sigma,r}
Hanaa M. Zayed, Teodor Bulboacă
doaj   +1 more source

Geometric properties of Wright function [PDF]

Mathematica Bohemica, 2018
In the present paper, we investigate certain geometric properties and inequalities for the Wright function and mention a few important consequences of our main results. A nonlinear differential equation involving the Wright function is also investigated.
Sudhananda Maharana, Jugal K. Prajapat, Deepak Bansal   +2 more
doaj   +1 more source

Assessing non-convex value functions for the optimal control of stochastic differential equations

Results in Control and Optimization, 2022
Solving the optimal control of stochastic differential equations (SDEs) using the dynamic programming method requires writing the problem in terms of the so-called value function. This paper presents conditions to assure that the value function is convex
Elmer Lévano, João B.R. do Val, Alessandro N. Vargas   +2 more
doaj   +1 more source

Doubly close-to-convex functions

Journal of Mathematical Analysis and Applications, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dorff, Michael, Naraniecka, Iwona, Szynal, Jan   +2 more
openaire   +2 more sources

Coefficient inequalities for Janowski type close-to-convex functions associated with Ruscheweyh Derivative Operator

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
The aim of this paper is tointroduce a new subclasses of the Janowski type close-to-convex functionsdefined by Ruscheweyh derivative operator and obtain coefficient boundsbelonging to this class.
Öznur Özkan Kılıç
doaj   +1 more source

Properties of analytic solutions of three similar differential equations of the second order

Karpatsʹkì Matematičnì Publìkacìï, 2021
An analytic univalent in ${\mathbb D}=\{z:\;|z|
M.M. Sheremeta, Yu.S. Trukhan
doaj   +1 more source

Global Monge-Ampere equation with asymptotically periodic data [PDF]

, 2015
Let $u$ be a convex solution to $\det(D^2u)=f$ in $\mathbb R^n$ where $f\in C^{1,\alpha}(\mathbb R^n)$ is asymptotically close to a periodic function $f_p$.
Teixeira, Eduardo V., Zhang, Lei
core   +1 more source