Results 61 to 70 of about 3,606 (203)
Studies in Applied Mathematics, Volume 155, Issue 2, August 2025.ABSTRACT As part of the efforts aimed at extending Painlevé and Gambier's work on second‐order equations in one variable to first‐order ones in two, in 1981, Bureau classified the systems of ordinary quadratic differential equations in two variables which are free of movable critical points (which have the Painlevé Property).
Adolfo Guillot
wiley +1 more source
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
doaj +1 more source
Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.Abstract Let φ$\varphi$ be a univalent non‐elliptic self‐map of the unit disc D$\mathbb {D}$ and let (ψt)$(\psi _{t})$ be a continuous one‐parameter semigroup of holomorphic functions in D$\mathbb {D}$ such that ψ1≠idD$\psi _{1}\ne {\sf id}_\mathbb {D}$ commutes with φ$\varphi$.
Manuel D. Contreras +2 more
wiley +1 more source
Higher Homotopies in a Hierarchy of Univalent Universes
, 2015 For Martin-Lof type theory with a hierarchy U(0): U(1): U(2): ... of univalent universes, we show that U(n) is not an n-type. Our construction also solves the problem of finding a type that strictly has some high truncation level without using higher ...
Kraus, Nicolai, Sattler, Christian
core +1 more source
Univalence of Certain Linear Operators Defined by Hypergeometric Function
Journal of Inequalities and Applications, 2009 The main object of the present paper is to investigate univalence and starlikeness of certain integral operators, which are defined here by means of hypergeometric functions.
R. Aghalary, A. Ebadian
doaj +2 more sources
Prestarlike functions with negative coefficients
International Journal of Mathematics and Mathematical Sciences, 1979 The extreme points for prestarlike functions having negative coefficients are determined. Coefficient, distortion and radii of univalence, starlikeness, and convexity theorems are also obtained.
H. Silverman, E. M. Silvia
doaj +1 more source
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 +2 more
wiley +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
One Criterion for Univalency [PDF]
Proceedings of the American Mathematical Society, 1989 In this note we give one criterion for the functions f ( z ) = z + a 2 z 2 + ⋯ f\left ( z \right ) = z + {a_2}{z^2} + \cdots to be univalent in
Nunokawa, Mamoru +2 more
openaire +1 more source
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