Results 61 to 70 of about 9,723 (251)

On subordination for certain subclass of analytic functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
In the present paper the class Pn[α,M] consisting of functions f(z)=z+∑k=n+1∞akzz(n≥1), which are analytic in the unit disc E={z:|z|
Liu Jinlin
doaj   +1 more source

A Class of Starlike Functions [PDF]

open access: yesRocky Mountain Journal of Mathematics, 1993
Let \(S^*\) be the usual class of starlike functions, i.e. \(f(z)\) of the form \(z+a_ 2 z^ 2\dots\) which are analytic and univalent in the unit disc \(U\) and which map \(U\) onto a domain starshaped with respect to the origin.
openaire   +2 more sources

Starlikeness of a product of starlike functions with non-vanishing polynomials

open access: yesAnalysis and Mathematical Physics, 2023
For a function $f$ starlike of order $\alpha$, $0\leqslant \alpha <1$, a non-constant polynomial $Q$ of degree $n$ which is non-vanishing in the unit disc $\mathbb{D}$ and $\beta>0$, we consider the function $F:\mathbb{D}\to\mathbb{C}$ defined by $F(z)=f(z) (Q(z))^{\beta /n}$ and find the largest value of $r\in (0,1]$ such that $r^{-1} F(rz ...
Somya Malik, V. Ravichandran
openaire   +2 more sources

Inclusion Theorems of Certain Integral Transform Related to Normalized Hypergeometric Functions and Generalized Bessel Functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
This study explores the geometric properties of normalized Gaussian hypergeometric functions in a certain subclass of analytic functions. This work investigates the inclusion properties of integral operators associated with generalized Bessel functions of the first kind.
Manas Kumar Giri   +2 more
wiley   +1 more source

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

open access: yesJournal 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   +6 more
doaj   +1 more source

Hankel and Toeplitz Determinants for a Subclass of q-Starlike Functions Associated with a General Conic Domain

open access: yesMathematics, 2019
By using a certain general conic domain as well as the quantum (or q-) calculus, here we define and investigate a new subclass of normalized analytic and starlike functions in the open unit disk U .
H. Srivastava   +4 more
semanticscholar   +1 more source

Integral Means and Arc length of Starlike Log-harmonic Mappings

open access: yesAbstract and Applied Analysis, 2011
We use star functions to determine the integral means for starlike log-harmonic mappings. Moreover, we include the upper bound for the arc length of starlike log-harmonic mappings.
Z. Abdulhadi, Y. Abu Muhanna
doaj   +1 more source

Brief Study On A New Family of Analytic Functions [PDF]

open access: yesSahand Communications in Mathematical Analysis
The authors introduced a new class of analytic functions in this study by means of convolution principle and obtain its relations with some well-known subclasses of analytic univalent functions in geometric functions theory in the open unit disk $\mathbb{
Jamiu Hamzat   +2 more
doaj   +1 more source

Third Hankel determinant and Zalcman functional for a class of starlike functions with respect to symmetric points related with sine function

open access: yes, 2021
In this article we define a class of starlike functions with respect to symmetric points in the domain of sine function. Also, we investigate coefficients bounds and upper bounds for the third order Hankel determinant for this defined class.
Muhammad Ghaffar Khan   +6 more
semanticscholar   +1 more source

No starlike trees are cospectral

open access: yesDiscrete Mathematics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ivan Gutman, Mirko Lepović
openaire   +2 more sources

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