Results 1 to 10 of about 10,536,036 (281)

Second Hankel Determinant of Logarithmic Coefficients of Convex and Starlike Functions of Order Alpha [PDF]

open access: hybridBulletin of the Malaysian Mathematical Sciences Society, 2021
In the present paper, we found sharp bounds of the second Hankel determinant of logarithmic coefficients of starlike and convex functions of order α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage ...
Bogumiła Kowalczyk, Adam Lecko
openalex   +2 more sources

On a subfamily of starlike functions related to Hyperbolic Cosine function [PDF]

open access: greenThe Journal of Analysis, 2022
We introduce and study a new Ma–Minda subclass of starlike functions $${\mathcal {S}}^*_{\varrho },$$ S ϱ ∗ , defined as $$\begin{aligned} {\mathcal {S}}^{*}_{\varrho }:=\left\{ f\in {\mathcal {A}}:\frac{zf'(z)}{f(z)} \prec \cosh \sqrt{z}=:\varrho (z), z\
Mridula Mundalia, S. Sivaprasad Kumar
openalex   +2 more sources

Hankel and Toeplitz determinant for a subclass of multivalent q-starlike functions of order α

open access: yesAIMS Mathematics, 2021
In this paper our aim is to study some valuable problems dealing with newly defined subclass of multivalent $q$-starlike functions. These problems include the initial coefficient estimates, Toeplitz matrices, Hankel determinant, Fekete-Szego problem ...
Huo Tang   +3 more
doaj   +2 more sources

Third Hankel Determinant for the Logarithmic Coefficients of Starlike Functions Associated with Sine Function

open access: yesFractal and Fractional, 2022
The logarithmic functions have been used in a verity of areas of mathematics and other sciences. As far as we know, no one has used the coefficients of logarithmic functions to determine the bounds for the third Hankel determinant.
Bilal Khan   +3 more
doaj   +2 more sources

A New Measure of Quantum Starlike Functions Connected with Julia Functions

open access: yesJournal 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   +2 more
doaj   +2 more sources

Applications of higher-order q-derivatives to the subclass of q-starlike functions associated with the Janowski functions

open access: yesAIMS Mathematics, 2021
In this paper, we first investigate some subclasses of q-starlike functions. We then apply higher-order q-derivative operators to introduce and study a new subclass of q-starlike functions, which involves the Janowski functions.
Muhammad Sabil Ur Rehman   +5 more
doaj   +2 more sources

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

open access: goldAbstract 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]

open access: yesHeliyon
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   +3 more
doaj   +2 more sources

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

open access: yesМатематичні 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   +3 more
doaj   +2 more sources

Subclasses of uniformly starlike functions [PDF]

open access: goldInternational Journal of Mathematics and Mathematical Sciences, 1992
We study subclasses of the class of uniformly starlike functions which were recently introduced by A.W. Goodman. One new subclass is defined and it is shown that it shares many properties of the parent class.
Ed Merkes, Mohammad Salmassi
doaj   +2 more sources

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