Results 1 to 10 of about 2,859 (232)

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

Certain Properties of Some Families of Generalized Starlike Functions with respect to q-Calculus [PDF]

Abstract and Applied Analysis, 2016
By making use of the concept of q-calculus, various types of generalized starlike functions of order α were introduced and studied from different viewpoints.
Ben Wongsaijai, Nattakorn Sukantamala
doaj   +2 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

New class of symmetric starlike functions subordinate to the generating function of Gregory coefficients. [PDF]

PLoS One
Khan MF, Abaoud M, Ahmad N, Almuqrin MA.
europepmc   +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

Odd Starlike Functions [PDF]

Proceedings of the American Mathematical Society, 1985
The authors show that for normalized odd starlike functions f(z) \[ Re(f(z)/S_ n(z,f))>,\quad | z|
Singh, Ram, Puri, Sangita
openaire   +1 more source

Analytic Functions Related with Starlikeness [PDF]

Mathematical Problems in Engineering, 2021
The aim of present investigation is to study a new class of analytic function related with the Sokol-Nunokawa class. We derived relationships of this class with strongly starlike functions and obtained many interesting results.
Syed Ghoos Ali Shah, Saima Noor, Saqib Hussain, Asifa Tasleem, Akhter Rasheed, Maslina Darus   +5 more
openaire   +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

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