Results 1 to 10 of about 2,697,831 (219)

On Janowski Starlike Functions [PDF]

Journal of Inequalities and Applications, 2008
For analytic functions f(z) in the open unit disc 𝕌 with f(0)=0 and f′(0)=1, applying the fractional calculus for f(z), a new fractional operator Dλf(z) is introduced.
S. Owa, E. Yavuz, A. Şen, Y. Polatog̃lu, M. Çag̃lar   +4 more
doaj   +6 more sources

Sharp coefficient bounds for a class of symmetric starlike functions involving the balloon shape domain [PDF]

Heliyon
Recent research has extensively explored classes of starlike and convex functions across various domains. This study introduces a novel class of symmetric starlike functions with respect to symmetric points and associated with the balloon shape domain ...
Bilal Khan, Jianhua Gong, Muhammad Ghaffar Khan, Fairouz Tchier   +3 more
doaj   +2 more sources

First-Order Differential Subordinations and Their Applications

Axioms, 2023
In this paper, we consider some relations related to the representations of starlike and convex functions, and obtain some sufficient conditions for starlike and convex functions by using the theory of differential subordination.
Ali Ebadian, Rasoul Aghalary, S. Shams, Nak Eun Cho, R. Alavi   +4 more
doaj   +1 more source

Radius Problems for Starlike Functions Associated with the Tan Hyperbolic Function

Journal of Function Spaces, 2021
The aim of this particular article is at studying a holomorphic function f defined on the open-unit disc D=z∈ℂ ...
Khalil Ullah, Saira Zainab, Muhammad Arif, Maslina Darus, Meshal Shutaywi   +4 more
doaj   +1 more source

A unified representation of some starlike and convex harmonic functions with negative coefficients [PDF]

Opuscula Mathematica, 2013
In this paper we introduce a unified representation of starlike and convex harmonic functions with negative coefficients, related to uniformly starlike and uniformly convex analytic functions.
R. M. El-Ashwah, M. K. Aouf, A. A. M. Hassan, A. H. Hassan   +3 more
doaj   +1 more source

Fourth Hankel Determinant for a Subclass of Starlike Functions Based on Modified Sigmoid

Journal of Function Spaces, 2021
In our present investigation, we obtain the improved third-order Hankel determinant for a class of starlike functions connected with modified sigmoid functions.
Wali Khan Mashwani, Bakhtiar Ahmad, Nazar Khan, Muhammad Ghaffar Khan, Sama Arjika, Bilal Khan, Ronnason Chinram   +6 more
doaj   +1 more source

On Coefficient Inequalities of Starlike Functions Related to the q-Analog of Cosine Functions Defined by the Fractional q-Differential Operator

Fractal and Fractional, 2023
This article extends the study of q-versions of analytic functions by introducing and studying the association of starlike functions with trigonometric cosine functions, both defined in their q-versions.
Yusra Taj, Sarfraz Nawaz Malik, Adriana Cătaş, Jong-Suk Ro, Fairouz Tchier, Ferdous M. O. Tawfiq   +5 more
doaj   +1 more source

On norm estimation for certain subclasses of analytic functions in geometric functions theory [PDF]

Journal of Mahani Mathematical Research, 2023
We investigate on some subclasses of analytic fuctions defined by subordination. Also, we give estimates of $\sup_{|z|
Hormoz Rahmatan
doaj   +1 more source

A New Measure of Quantum Starlike Functions Connected with Julia Functions

Journal of Function Spaces, 2022
In a complex domain, the investigation of the quantum differential subordinations for starlike functions is newly considered by few research studies. In this note, we arrange a set of necessary conditions utilizing the concept of the quantum differential
Samir B. Hadid, Rabha W. Ibrahim, Shaher Momani   +2 more
doaj   +1 more source

Starlike functions [PDF]

Proceedings of the American Mathematical Society, 1974
Let S ∗
openaire   +1 more source