Results 71 to 80 of about 1,299 (211)
On radii of starlikeness and convexity for convolutions of starlike functions
International Journal of Mathematics and Mathematical Sciences, 1997 In this paper, we obtain the radiuses of univalence, starlikeness and convexity for convolutions of starlike functions.
Yi Ling, Shusen Ding
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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
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Fractal and FractionalIn 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 +2 more
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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
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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
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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 +8 more sources
An Application of Pescar’s Univalence Criterion [PDF]
Pescar has obtained a generalization of Ahlfor’s and Becker’s criterion of univalence.In this paper we generalize the Pescar’s univalence criterion for other two operators and we obtain new univalence conditions of analytic functions in the unit ...
Ularu, Nicoleta, Breaz, Daniel
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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
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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
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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
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