Results 61 to 70 of about 16,584 (269)
Properties of a new integral operator
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, we derive sufficient conditions for the univalence, star- likeness, convexity and some other properties in the class N (ρ) ; for a new integral operator defined on the space of normalized analytic functions in the open unit disk.
Bucur Roberta +2 more
doaj +1 more source
On q-Starlike Functions Defined by q-Ruscheweyh Differential Operator in Symmetric Conic Domain
Symmetry, 2021 Motivated by q-analogue theory and symmetric conic domain, we study here the q-version of the Ruscheweyh differential operator by applying it to the starlike functions which are related with the symmetric conic domain.
Saira Zainab +5 more
semanticscholar +1 more source
Close-to-convexity of quasihyperbolic and $j$-metric balls
, 2010 We will consider close-to-convexity of the metric balls defined by the quasihyperbolic metric and the $j$-metric. We will show that the $j$-metric balls with small radii are close-to-convex in general subdomains of $\Rn$ and the quasihyperbolic balls ...
Klén, Riku
core +1 more source
Some General Classes of q-Starlike Functions Associated with the Janowski Functions
Symmetry, 2019 By making use of the concept of basic (or q-) calculus, various families of q-extensions of starlike functions of order α in the open unit disk U were introduced and studied from many different viewpoints and perspectives.
H. Srivastava +4 more
semanticscholar +1 more source
Certain Constraints for Functions Provided by Touchard Polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.Since finding solutions to integral equations is usually challenging analytically, approximate methods are often required, one of which is based on Touchard polynomials. This paper examines the necessary constraints for the functions Ϝετς,Πε,τ,ςℏ, and the integral operator Lετς, defined by Touchard polynomials, to be in the comprehensive subclass ∁η(q3,
Tariq Al-Hawary +3 more
wiley +1 more source
A generalization of starlike functions of order alpha [PDF]
, 2015 For every $q\in(0,1)$ and $0\le ...
Agrawal, Sarita, Sahoo, Swadesh K.
core
Geometric properties of the shifted hypergeometric functions
, 2017 We will provide sufficient conditions for the shifted hypergeometric function $z_2F_1(a,b;c;z)$ to be a member of a specific subclass of starlike functions in terms of the complex parameters $a,b$ and $c.$ For example, we study starlikeness of order ...
Sugawa, Toshiyuki, Wang, Li-Mei
core +1 more source
A Subclass of Multivalent Janowski Type q-Starlike Functions and Its Consequences
Symmetry, 2021 In this article, by utilizing the theory of quantum (or q-) calculus, we define a new subclass of analytic and multivalent (or p-valent) functions class Ap, where class Ap is invariant (or symmetric) under rotations.
Qiuxia Hu +6 more
semanticscholar +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
On subordination for certain subclass of analytic functions
International Journal of Mathematics and Mathematical Sciences, 1997 In the present paper the class Pn[α,M] consisting of functions f(z)=z+∑k=n+1∞akzz(n≥1), which are analytic in the unit disc E={z:|z|
Liu Jinlin
doaj +1 more source