Results 11 to 20 of about 360,320 (184)

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
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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
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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
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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
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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
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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

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
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Convexity, Starlikeness, and Prestarlikeness of Wright Functions

Mathematics, 2022
This article deals with the normalized Wright function and its geometric properties. In particular, we find sufficiency criteria for close-to-convexity with respect to starlike function ς1−ς2.
Dong Liu, Muhey U Din, Mohsan Raza, Sarfraz Nawaz Malik, Huo Tang   +4 more
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Further Geometric Properties of the Barnes–Mittag-Leffler Function

Axioms, 2023
In this paper, we find sufficient conditions to be imposed on the parameters of a class of functions related to the Barnes–Mittag-Leffler function that allow us to conclude that it possesses certain geometric properties (such as starlikeness, uniformly ...
Abdulaziz Alenazi, Khaled Mehrez
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