Results 71 to 80 of about 3,606 (203)
Geometric Properties of Partial Sums of Univalent Functions [PDF]
, 2012 The $n$th partial sum of an analytic function $f(z)=z+\sum_{k=2}^\infty a_k z^k$ is the polynomial $f_n(z):=z+\sum_{k=2}^n a_k z^k$. A survey of the univalence and other geometric properties of the $n$th partial sum of univalent functions as well as ...
Ravichandran, V.
core
On a Subfamily of Analytic Functions Associated With q‐Sălăgean Operator
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this article, we study a new subfamily of analytic functions associated with q‐Janowski function using q‐Sălăgean operator. We explore certain properties of the functions belonging to this new class which include sufficient condition, inclusion results, and coefficient estimate bounds for Fekete–Szegö functional. Several consequences of main results
Ihtesham Gul +6 more
wiley +1 more source
Univalence Conditions Related to a General Integral Operator
Abstract and Applied Analysis, 2012 We consider a general integral operator based on two types of analytic functions, namely, regular functions and, respectively, functions having a positive real part. Some univalence conditions for this integral operator are obtained.
Nicoleta Breaz, Virgil Pescar
doaj +1 more source
Journal of Topology, Volume 17, Issue 2, June 2024.Abstract In a 2005 paper, Casacuberta, Scevenels, and Smith construct a homotopy idempotent functor E$E$ on the category of simplicial sets with the property that whether it can be expressed as localization with respect to a map f$f$ is independent of the ZFC axioms. We show that this construction can be carried out in homotopy type theory.
J. Daniel Christensen
wiley +1 more source
Local univalence versus stability and causality in hydrodynamic models
European Physical Journal C: Particles and FieldsOur primary goal is to compare the analytic properties of hydrodynamic series with the stability and causality conditions applied to hydrodynamic modes. Analyticity, in this context, serves as a necessary condition for hydrodynamic series to behave as a ...
Roya Heydari, Farid Taghinavaz
doaj +1 more source
Univalence for inverse EI diagrams
, 2017 We construct a new model category presenting the homotopy theory of presheaves on "inverse EI $(\infty,1)$-categories", which contains universe objects that satisfy Voevodsky's univalence axiom.
Shulman, Michael
core +1 more source
Proceedings of the 13th ACM SIGPLAN International Conference on Certified Programs and ProofsCategory theory is a branch of mathematics that provides a formal framework for understanding the relationship between mathematical structures. To this end, a category not only incorporates the data of the desired objects, but also "morphisms", which capture how different objects interact with each other.
Niels van der Weide +3 more
openaire +6 more sources
On the ∞$\infty$‐topos semantics of homotopy type theory
Bulletin of the London Mathematical Society, Volume 56, Issue 2, Page 461-517, February 2024.Abstract Many introductions to homotopy type theory and the univalence axiom gloss over the semantics of this new formal system in traditional set‐based foundations. This expository article, written as lecture notes to accompany a three‐part mini course delivered at the Logic and Higher Structures workshop at CIRM‐Luminy, attempt to survey the state of
Emily Riehl
wiley +1 more source
Properties of a Linear Operator Involving Lambert Series and Rabotnov Function
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.This work is an attempt to apply Lambert series in the theory of univalent functions. We first consider the Hadamard product of Rabotnov function and Lambert series with coefficients derived from the arithmetic function σ(n) to introduce a normalized linear operator JRα,βz.
Jamal Salah, Bao Q. Li
wiley +1 more source
General Univalence Criterion Associated with the nth Derivative
Abstract and Applied Analysis, 2012 For normalized analytic functions f(z) with f(z)≠0 for ...
Oqlah Al-Refai, Maslina Darus
doaj +1 more source