Results 41 to 50 of about 6,249 (191)

Second Hankel determinant for bi-starlike and bi-convex functions of order \b{eta}

, 2015
In the present investigation the authors obtain upper bounds for the second Hankel determinant of the classes bi-starlike and bi-convex functions of order beta.Comment: 8 pages, submitted to a ...
Deniz, Erhan, Orhan, Halit, Çağlar, Murat   +2 more
core   +1 more source

q-STARLIKE FUNCTIONS OF ORDER ALPHA

TWMS Journal of Applied and Engineering Mathematics, 2018
Summary: For all \(q\in(0,1)\) and \(0\leq ...
Uçar, Faruk, Yılmaz, Bülent, POLATOĞLU, YAŞAR   +2 more
openaire   +7 more sources

Toeplitz Determinants for Inverse of Analytic Functions

Mathematics
Estimates bounds for Carathéodory functions in the complex domain are applied to demonstrate sharp limits for the inverse of analytic functions. Determining these values is considered a more difficult task compared to finding the values of analytic ...
Sarem H. Hadi, Yahea Hashem Saleem, Alina Alb Lupaş, Khalid M. K. Alshammari, Abdullah Alatawi   +4 more
doaj   +1 more source

Integral Means and Arc length of Starlike Log-harmonic Mappings

Abstract and Applied Analysis, 2011
We use star functions to determine the integral means for starlike log-harmonic mappings. Moreover, we include the upper bound for the arc length of starlike log-harmonic mappings.
Z. Abdulhadi, Y. Abu Muhanna
doaj   +1 more source

Spirallikeness of shifted hypergeometric functions

, 2016
In the present paper, we study spirallikenss (including starlikeness) of the shifted hypergeometric function $f(z)=z_2F_1(a,b;c;z)$ with complex parameters $a,b,c,$ where $_2F_1(a,b;c;z)$ stands for the Gaussian hypergeometric function. First, we observe
Sugawa, Toshiyuki, Wang, Li-Mei
core   +1 more source

Certain integral operator and strongly starlike functions

International Journal of Mathematics and Mathematical Sciences, 2002
Let S∗(ρ,γ) denote the class of strongly starlike functions of order ρ and type γ and let C(ρ,γ) be the class of strongly convex functions of order ρ and type γ. By making use of an integral operator defined by Jung et al.
Jin-Lin Liu
doaj   +1 more source

Study of (p, q)‐Symmetric Starlike Functions of Order η

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In the field of geometric function theory, we use the (p, q)‐differential operator in the complex unit disk to describe a novel class Sp,q∗∗η of symmetrical starlike functions of order η. Several interesting properties of functions belonging to the class Sp,q∗∗η are examined, such as growth, distortion, and convolution characteristics.
Imran Khan, Rashid Murtaza, Adnan, Mohammad Khalid Nasrat, Ozgur Ege   +4 more
wiley   +1 more source

On classes of non-univalent functions influenced by the multiplicative derivative

Frontiers in Applied Mathematics and Statistics
In this article, we extend studies on the class of starlike functions, motivated by the definition of the multiplicative derivative. In this direction, we define a new class by combining characterizations of starlike functions and a recently studied ...
Daniel Breaz, Kadhavoor R. Karthikeyan, Dharmaraj Mohankumar   +2 more
doaj   +1 more source

The sharp bound of the third Hankel determinants for inverse of starlike functions with respect to symmetric points

Математичні Студії, 2022
We study the sharp bound for the third Hankel determinant for the inverse function $f$, when it belongs to of the class of starlike functions with respect to symmetric points.
B. Rath, D. V. Krishna, K. S. Kumar, G. K. S. Viswanadh   +3 more
doaj   +1 more source

Geometric Properties of Partial Sums of Univalent Functions [PDF]

, 2012
The $n$th partial sum of an analytic function $f(z)=z+\sum_{k=2}^\infty a_k z^k$ is the polynomial $f_n(z):=z+\sum_{k=2}^n a_k z^k$. A survey of the univalence and other geometric properties of the $n$th partial sum of univalent functions as well as ...
Ravichandran, V.
core