Results 51 to 60 of about 3,606 (203)
A new foundational crisis in mathematics, is it really happening?
, 2018 The article reconsiders the position of the foundations of mathematics after the discovery of HoTT. Discussion that this discovery has generated in the community of mathematicians, philosophers and computer scientists might indicate a new crisis in the ...
A J C Hurkens +23 more
core +1 more source
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we study several important coefficient problems for the class Sp∗ of Sakaguchi‐type starlike functions subordinated to a petal‐shaped domain. We obtain a collection of sharp bounds that extend and refine known results in geometric function theory.
Adel A. Attiya +5 more
wiley +1 more source
Univalence of certain integral operators
International Journal of Mathematics and Mathematical Sciences, 2000 We study some integral operators and determine conditions for the univalence of these integral operators.
Virgil Pescar, Shigeyoshi Owa
doaj +1 more source
Elementary considerations for classes of meromorphic univalent functions
, 2017 In this article we consider functions $f$ meromorphic in the unit disk. We give an elementary proof for a condition that is sufficient for the univalence of such functions. This condition simplifies and generalizes known conditions.
Brown, André EX +11 more
core +1 more source
Memoirs of the American Mathematical SocietyThe Univalence Principle is the statement that equivalent mathematical structures are indistinguishable. We prove a general version of this principle that applies to all set-based, categorical, and higher-categorical structures defined in a non-algebraic and space-based style, as well as models of higher-order theories such as topological spaces.
Ahrens, Benedikt +3 more
openaire +3 more sources
Coefficient Inequalities Related With Apple‐Like Functions
Journal of Function Spaces, Volume 2026, Issue 1, 2026.Several subfamilies of Ma and Minda starlike and convex functions have been examined differently through individual generating functions in the literature. However, little or no effort has been devoted to subfamily arising from the product of these generating functions.
Aiman Sana +3 more
wiley +1 more source
Radius Constants for Functions with the Prescribed Coefficient Bounds
Abstract and Applied Analysis, 2014 For an analytic univalent function f(z)=z+∑n=2∞anzn in the unit disk, it is well-known that an≤n for n≥2. But the inequality an≤n does not imply the univalence of f.
Om P. Ahuja +2 more
doaj +1 more source
Quasiconformal extension for harmonic mappings on finitely connected domains
Comptes Rendus. Mathématique, 2021 We prove that a harmonic quasiconformal mapping defined on a finitely connected domain in the plane, all of whose boundary components are either points or quasicircles, admits a quasiconformal extension to the whole plane if its Schwarzian derivative is ...
Efraimidis, Iason
doaj +1 more source
On the dimension of the boundaries of attracting basins of entire maps
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract Let f:C→C$f:\mathbb{C}\to \mathbb{C}$ be a transcendental entire map from the Eremenko–Lyubich class B$\mathcal {B}$, and let ζ$\zeta$ be an attracting periodic point of period p$p$. We prove that the boundaries of components of the attracting basin of (the orbit of) ζ$\zeta$ have hyperbolic (and, consequently, Hausdorff) dimension larger than
Krzysztof Barański +4 more
wiley +1 more source
An introduction to univalent foundations for mathematicians
, 2018 We offer an introduction for mathematicians to the univalent foundations of Vladimir Voevodsky, aiming to explain how he chose to encode mathematics in type theory and how the encoding reveals a potentially viable foundation for all of modern mathematics
Grayson, Daniel R.
core +1 more source