Results 51 to 60 of about 5,950,409 (217)

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

Journal of Function Spaces
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 ...
Sarem H. Hadi, Maslina Darus, Rabha W. Ibrahim   +2 more
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

Applications of the l‐Binomial Theorem to Certain Subclasses of Univalent Functions

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this paper, we investigate a binomial theorem associated with the l‐gamma function. This binomial generalizes both the Pascal operator and the Ruscheweyh differential operator. We establish necessary and sufficient conditions for the l‐binomial theorem to belong to various subclasses of analytic and univalent functions in the open unit disc. We also
Abdel Moneim Y. Lashin, Fatma Z. El-Emam, Shikha Binwal   +2 more
wiley   +1 more source

The Coefficients Of Functions With Positive Real Part And Some Special Classes Of Univalent Functions. [PDF]

, 2003
Several special classes of univalent functions f in the unit disk U are characterized by the quantity zf'(z)/ f (z) lies in a given region in the right-half plane.
M. Ali, Rosihan
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 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

Univalent and Starlike Generalized Hypergeometric Functions

, 1987
A single-valued function f(z) is said to be univalent in a domain if it never takes on the same value twice, that is, if f(z1) = f(z2) for implies that z1 = z2.
Shigeyoshi Owa, H. M. Srivastava
core   +1 more source

The Normalized Prabhakar Fractional Operator’s Boundedness Across Various Spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
A functional space called the Bloch space is made up of analytic functions on the unit disk in the complex plane. These functions provide a number of benefits and intriguing characteristics, as well as meeting specific growth requirements. In this notice, the boundedness of certain fractional integral operator in a class of Bloch spaces is investigated.
Rabha W. Ibrahim, Shikha Binwal
wiley   +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 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