Results 31 to 40 of about 496 (69)
On certain sufficient conditions for starlikeness
International 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
Some properties of a class of holomorphic functions associated with tangent function
Demonstratio MathematicaIn 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
Bi‐Starlike Function of Complex Order Involving Rabotnov Function Associated With Telephone Numbers
Journal 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
International 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
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Concave univalent functions and Dirichlet finite integral
, 2016 The article deals with the class ${\mathcal F}_{\alpha }$ consisting of non-vanishing functions $f$ that are analytic and univalent in $\ID$ such that the complement $\IC\backslash f(\ID) $ is a convex set, $f(1)=\infty ,$ $f(0)=1$ and the angle at ...
Muhanna, Y. Abu, Ponnusamy, S.
core +1 more source
Faber Polynomial Coefficients and Applications in Analytic Function Class
Journal 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
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A subordination theorem for spirallike functions
International 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
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Applications of the Owa-Srivastava Operator to the Class of K-Uniformly Convex Functions [PDF]
, 2006 2000 Mathematics Subject Classification: Primary 30C45, 26A33; Secondary 33C15By making use of the fractional differential operator Ω^λz (0 ≤ λ < 1) due to Owa and Srivastava, a new subclass of univalent functions denoted by k−SPλ (0 ≤ k < ∞) is ...
Gochhayat, P., Mishra, A. K.
core
Application of Differential Subordinations to the Arithmetic–Geometric Means by Using an Operator
Journal 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
Initial Coefficient Estimates for Bi‐Univalent Functions Related to Generalized Telephone Numbers
Journal of Mathematics, Volume 2024, Issue 1, 2024.This study defines three novel classes of bi‐univalent functions connected to generalized telephone numbers for the first time. We produced assessments about the Taylor–Maclaurin coefficients |a2| and |a3| and Fekete–Szegö functional problems for functions involving these novel subclasses for functions in every one regarding these three bi‐univalent ...
Gangadharan Murugusundaramoorthy +5 more
wiley +1 more source