Results 21 to 30 of about 42 (41)

Univalence of certain integral operators

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 10, Page 697-701, 2000., 2000
We study some integral operators and determine conditions for the univalence of these integral operators.
Virgil Pescar, Shigeyoshi Owa
wiley   +1 more source

Classes of convex functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 12, Page 819-825, 2000., 2000
We investigate a family that connects various subclasses of functions convex in the unit disk. We also look at generalized sequences for this family.
Thomas Rosy   +3 more
wiley   +1 more source

Hankel and Toeplitz Determinants for q‐Starlike Functions Involving a q‐Analog Integral Operator and q‐Exponential Function

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
This article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q‐starlike functions defined by a q‐analog integral operator, which is a more general form of the q‐Srivastava‐Attiya operator, and the q‐exponential function eq(z).
Sarem H. Hadi   +3 more
wiley   +1 more source

On certain sufficient conditions for starlikeness

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 8, Page 521-527, 2000., 2000
We consider certain properties of f(z)f″(z)/f′2(z) as a sufficient condition for starlikeness.
Nikola Tuneski
wiley   +1 more source

Bi‐Starlike Function of Complex Order Involving Rabotnov Function Associated With Telephone Numbers

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
Telephone numbers defined through the recurrence relation Qn=Qn−1+n−1Qn−2 for n ≥ 2, with initial values of Q0=Q1=1. The study of such numbers has led to the establishment of various classes of analytic functions associated with them. In this paper, we establish two new subclasses of bi‐convex and bi‐starlike functions of complex order in the open unit
Sa’ud Al-Sa’di   +3 more
wiley   +1 more source

Some sufficient conditions for strongly starlikeness

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 9, Page 643-647, 2000., 2000
We consider strongly starlikeness of order α of functions f(z) = z + an+1zn+1 + ⋯ which are analytic in the unit disc and satisfy the condition of the form |f′(z)(zf(z))1+μ−1|<λ, 0101<μ<, <λ< .
Milutin Obradović, Shigeyoshi Owa
wiley   +1 more source

Some properties of a class of holomorphic functions associated with tangent function

open access: yesDemonstratio Mathematica
In this study, we define new class of holomorphic functions associated with tangent function. Furthermore, we examine the differential subordination implementation results related to Janowski and tangent functions. Also, we investigate some extreme point
Khan Muhammad Ghaffar   +5 more
doaj   +1 more source

Faber Polynomial Coefficients and Applications in Analytic Function Class

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
Through this paper, by using the subordination definition, the ℘‐analogues Cătaş operator I℘nλ,I, complex order, and biunivalent functions with coefficients introduced by Faber polynomial expansion, we introduced the new class S℘,n∗f,λ,I,ξ,α,ϕ. A Faber polynomial is known as a sequence of polynomials that are used to approximate an analytic function on
Samar Mohamed   +2 more
wiley   +1 more source

A subordination theorem for spirallike functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 7, Page 433-435, 2000., 2000
We prove a subordination relation for a subclass of the class of λ‐spirallike functions.
Sukhjit Singh
wiley   +1 more source

Application of Differential Subordinations to the Arithmetic–Geometric Means by Using an Operator

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
This study investigates differential subordination involving arithmetic and geometric mean approaches associated with a previously introduced operator. While earlier studies considered cases where the dominant function was convex or linear, the present work extends these results by examining differential subordinations for specific classes of convex ...
Santosh Mandal   +5 more
wiley   +1 more source

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