Results 51 to 60 of about 1,238 (216)

Hermitian-Toeplitz determinants and some coefficient functionals for the starlike functions

, 2023
summary:In this paper, we have determined the sharp lower and upper bounds on the fourth-order Hermitian-Toeplitz determinant for starlike functions with real coefficients.
Kumar, Virendra, Das, Laxminarayan, Kumar, Deepak   +2 more
core   +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

Weakly starlike meromorphic univalent functions

, 1975
A weakly starlike meromorphic univalent function is one of the form f ( z ) = − ρ z g ( z ) [ ( z − ρ ) (
Albert E. Livingston, Richard J. Libera
core   +1 more source

Sandwich Theories for Pascal Distribution–Related Univalent Functions

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This paper investigates differential subordination and superordination for univalent functions, emphasizing operators derived from the Pascal distribution. Motivated by the limited existing results using this operator, the study establishes new sandwich‐type theorems.
Fatma Z. El-Emam, Samar M. Madian, Shikha Binwal   +2 more
wiley   +1 more source

On multivalent starlike functions

, 2019
We prove some new sufficient conditions for function to be p-valent, or p-valently starlike in the unit disc.
SOKÓŁ, Janusz, NUNOKAWA, Mamoru
core   +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

Weakly starlike meromorphic univalent functions. II

, 1977
A function f ( z ) f(z) is said to be meromorphic weakly starlike if it has the form f ( z ) = − ρ z F ( Z ) /
Albert E. Livingston
core   +1 more source

On Subclasses of Spiral‐Like Functions Defined by the q‐Derivative Operator

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In 1990, Ismail et al. introduced a generalized class of starlike functions using the q‐derivative operator. Similarly, many authors have studied various subclasses of analytic functions involving the q‐derivative operator from different perspectives. This paper is aimed at presenting new subclasses of analytic and spiral‐like functions related to the ...
Fatma Z. El-Emam, Samar. M. Madian, Abdul Rauf Khan   +2 more
wiley   +1 more source

A certain subclass of starlike functions defined by subordination [PDF]

Journal of Mahani Mathematical Research
In the present paper, we introduce and investigate a new result connected to subclasses of normalized and univalent functions in the open unit disk.
Khatere Sheikhi, Shahram Najafzadeh
doaj   +1 more source

On a coefficient inequality for starlike functions

, 1975
M. S. Robertson considered a coefficient inequality I I for starlike functions that, if true, would imply a generalized Bieberbach coefficient inequality B B for close to convex functions.
Roger W. Barnard
core   +1 more source