Results 21 to 30 of about 270 (181)

INJECTIVITY OF SECTIONS OF CLOSE-TO-CONVEX HARMONIC MAPPINGS WITH FUNCTIONS CONVEX IN ONE DIRECTION AS ANALYTIC PART

Проблемы анализа, 2018
In this article, we prove a two-points distortion theorem and obtain sharp coefficient estimates for the families of close-toconvex harmonic mappings whose analytic part is a function convex in one direction.
A. Sairam Kaliraj
doaj   +1 more source

Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator

International Journal of Mathematics and Mathematical Sciences, Volume 2023, Issue 1, 2023., 2023
In this paper, we introduce and investigate a class of biunivalent functions, denoted by Hn,r,α, that depends on the Ruscheweyh operator and defined by means of Horadam polynomials. For functions in this class, we derive the estimations for the initial Taylor–Maclaurin coefficients |a2| and |a3|.
Waleed Al-Rawashdeh, Teodor Bulboaca
wiley   +1 more source

NEIGHBOURHOODS OF UNIVALENT FUNCTIONS [PDF]

Bulletin of the Australian Mathematical Society, 2010
AbstractThe main result shows that a small perturbation of a univalent function is again a univalent function, hence a univalent function has a neighbourhood consisting entirely of univalent functions. For the particular choice of a linear function in the hypothesis of the main theorem, we obtain a corollary which is equivalent to the classical Noshiro–
Pascu, Mihai N., Pascu, Nicolae R.
openaire   +2 more sources

Perovskite semiconductors for ionizing radiation detection

EcoMat, Volume 4, Issue 6, November 2022., 2022
Ionizing radiation detection is a cornerstone technology in multiple application scenarios, such as medical diagnose, safety inspection, and space exploration. Perovskites, as the wonder material of last decade, have been placed with great expectations of widespread applications where semiconductor ionization radiation detection is one preponderant ...
Hao Hu, Guangda Niu, Zhiping Zheng, Ling Xu, Linyue Liu, Jiang Tang   +5 more
wiley   +1 more source

The Univalence of an Integral [PDF]

Proceedings of the American Mathematical Society, 1971
Let f ( z ) f(z)
openaire   +1 more source

A Study on Becker's Univalence Criteria

Abstract and Applied Analysis, 2011
We study univalence properties for certain subclasses of univalent functions K, K2, K3, and S(p), respectively. These subclasses are associated with a generalized integral operator.
Maslina Darus, Imran Faisal
doaj   +1 more source

UNIVALENCE OF HARMONIC FUNCTIONS, PROBLEM OF PONNUSAMY AND SAIRAM, AND CONSTRUCTIONS OF UNIVALENT POLYNOMIALS

Проблемы анализа, 2014
The criteria of the univalence of a harmonic mapping is obtained in this paper. Particularly, it permits to formulate the hypothesis of the harmonic function classes equality S 0 H = S 0 H(S) (hypothesis of Ponnusamy and Sairam), in analytic form.
Starkov
doaj   +1 more source

Sufficient Conditions for Univalence of an Integral Operator Defined by Al-Oboudi Differential Operator

Journal of Inequalities and Applications, 2008
We investigate the univalence of an integral operator defined by Al-Oboudi differential operator.
Serap Bulut
doaj   +2 more sources

Univalence Criteria for Two Integral Operators

Abstract and Applied Analysis, 2012
We study the univalence conditions for two integral operators to be univalent in the open unit disk. Many known univalence conditions are written to prove our main results.
Laura Filofteia Stanciu, Daniel Breaz
doaj   +1 more source

A Connection between Basic Univalence Criteria

Abstract and Applied Analysis, 2013
We obtain a sufficient condition for the analyticity and the univalence of a class of functions defined by an integral operator. The well-known univalence criteria of Alexander, Noshiro-Warschawski, Nehari, Goluzin, Ozaki-Nunokawa, Becker, and ...
Horiana Tudor
doaj   +1 more source