Results 61 to 70 of about 270 (181)

Inclusion Theorems of Certain Integral Transform Related to Normalized Hypergeometric Functions and Generalized Bessel Functions

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
This study explores the geometric properties of normalized Gaussian hypergeometric functions in a certain subclass of analytic functions. This work investigates the inclusion properties of integral operators associated with generalized Bessel functions of the first kind.
Manas Kumar Giri, Raghavendar K., Teodor Bulboaca   +2 more
wiley   +1 more source

New Applications of Differential Subordination Theory Concerning Fractional Integrals of Gaussian Hypergeometric Functions

Fractal and Fractional
In the present research, necessary and sufficient conditions for the univalence of the fractional integral of the Gaussian hypergeometric function are obtained by employing specific approaches from differential subordination theory.
Georgia Irina Oros, Gabriel Cheregi, Gheorghe Oros   +2 more
doaj   +1 more source

Kudriasov Type Univalence Criteria for Some Integral Operators

Abstract and Applied Analysis, 2013
We consider some integral operators defined by analytic functions in the open unit disk and derive new univalence criteria for these operators, using Kudriasov condition for a function to be univalent.
Virgil Pescar, Nicoleta Breaz
doaj   +1 more source

Geometric Properties of New Subclasses of Meromorphic Harmonic Functions Associated With Janowski Functions Defined by q‐Calculus

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
This paper establishes new applications of q‐calculus for meromorphic harmonic functions, utilizing concepts of convolutions, subordination, and the q‐difference operator. We introduce the q‐Ruscheweyh‐type derivative operator for meromorphic harmonic functions and utilize it to define and explore novel subclasses related to Janowski functions.
Ahmad A. Abubaker, Abdul Rauf Khan
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

Univalent Double Categories

Proceedings of the 13th ACM SIGPLAN International Conference on Certified Programs and Proofs
Category 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, Nima Rasekh, Benedikt Ahrens, Paige Randall North   +3 more
openaire   +6 more sources

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, Mohammed Ali Alamri, Khalida Inayat Noor, Saqib Hussain, Maslina Darus, Saima Noor, R. Sundareswaran   +6 more
wiley   +1 more source

Local univalence versus stability and causality in hydrodynamic models

European Physical Journal C: Particles and Fields
Our 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

Non‐accessible localizations

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

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