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Geometric Properties of Generalized Integral Operators Related to The Miller–Ross Function

open access: yesAxioms, 2023
It is very well-known that the special functions and integral operators play a vital role in the research of applied and mathematical sciences. In this paper, our aim is to present sufficient conditions for the families of integral operators containing ...
Sercan Kazımoğlu   +2 more
doaj   +1 more source

On convolutions of slanted half-plane mappings

open access: yesJournal of Taibah University for Science, 2021
The convolution of convex harmonic univalent functions in the unit disk, unlike analytic functions, may not be convex or even univalent. The main purpose of this work is to develop previous work involving the convolution of convex harmonic functions ...
Elif Yaşar
doaj   +1 more source

Aspects of univalence in holographic axion models

open access: yesJournal of High Energy Physics, 2022
Univalent functions are complex, analytic (holomorphic) and injective functions that have been widely discussed in complex analysis. It was recently proposed that the stringent constraints that univalence imposes on the growth of functions combined with ...
Matteo Baggioli   +3 more
doaj   +1 more source

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

open access: yesПроблемы 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

Some generalizations on the univalence of an integral operator and quasiconformal extensions [PDF]

open access: yes, 2012
By using the method of Loewner chains, we establish some sufficient conditions for the analyticity and univalency of functions defined by an integral operator.
Orhan, Halit, Çağlar, Murat
core   +2 more sources

Sets in homotopy type theory [PDF]

open access: yes, 2014
Homotopy Type Theory may be seen as an internal language for the $\infty$-category of weak $\infty$-groupoids which in particular models the univalence axiom.
Rijke, Egbert, Spitters, Bas
core   +3 more sources

A Study on Becker's Univalence Criteria

open access: yesAbstract 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

open access: yesПроблемы 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

open access: yesJournal 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

The univalence axiom for elegant Reedy presheaves [PDF]

open access: yes, 2015
We show that Voevodsky's univalence axiom for intensional type theory is valid in categories of simplicial presheaves on elegant Reedy categories. In addition to diagrams on inverse categories, as considered in previous work of the author, this includes ...
Shulman, Michael
core   +1 more source

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