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Sharp Bounds of Hankel Determinant on Logarithmic Coefficients for Functions Starlike with Exponential Function

open access: yesFractal and Fractional, 2022
Using the Lebedev–Milin inequalities, bounds on the logarithmic coefficients of an analytic function can be transferred to estimates on coefficients of the function itself and related functions.
, Khalil Ullah, Shi Lei
exaly   +2 more sources

Q-Extension of Starlike Functions Subordinated with a Trigonometric Sine Function

open access: yesMathematics, 2020
The main purpose of this article is to examine the q-analog of starlike functions connected with a trigonometric sine function. Further, we discuss some interesting geometric properties, such as the well-known problems of Fekete-Szegö, the necessary
Saeed Islam   +2 more
exaly   +2 more sources

On Some Sufficient Conditions for a Function to Be p-Valent Starlike

open access: yesSymmetry, 2019
A function f analytic in a domain D ∈ C is called p-valent in D, if for every complex number w, the equation f ( z ) = w has at most p roots in D, so that there exists a complex number w 0 such that the equation f ( z )
Mamoru Nunokawa   +2 more
exaly   +2 more sources

Parabolic starlike mappings of the unit ball $B^n$ [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2016
Let $f$ be a locally univalent function on the unit disk $U$. We consider the normalized extensions of $f$ to the Euclidean unit ball $B^nsubseteqmathbb{C}^n$ given by$$Phi_{n,gamma}(f)(z)=left(f(z_1),(f'(z_1))^gammahat{z}right),$$ where $gammain[0,1/2]$,
Samira Rahrovi
doaj   +1 more source

Further Geometric Properties of the Barnes–Mittag-Leffler Function

open access: yesAxioms, 2023
In this paper, we find sufficient conditions to be imposed on the parameters of a class of functions related to the Barnes–Mittag-Leffler function that allow us to conclude that it possesses certain geometric properties (such as starlikeness, uniformly ...
Abdulaziz Alenazi, Khaled Mehrez
doaj   +1 more source

Uniformly starlike functions and uniformly convex functions related to the Pascal distribution [PDF]

open access: yesMathematica Bohemica, 2021
In this article, we aim to find sufficient conditions for a convolution of analytic univalent functions and the Pascal distribution series to belong to the families of uniformly starlike functions and uniformly convex functions in the open unit disk ...
Gangadharan Murugusundaramoorthy   +1 more
doaj   +1 more source

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

open access: yesJournal 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

Convexity, Starlikeness, and Prestarlikeness of Wright Functions

open access: yesMathematics, 2022
This article deals with the normalized Wright function and its geometric properties. In particular, we find sufficiency criteria for close-to-convexity with respect to starlike function ς1−ς2.
Dong Liu   +4 more
doaj   +1 more source

Subclasses of Multivalent Meromorphic Functions with a Pole of Order p at the Origin

open access: yesMathematics, 2022
In this paper, we carry out a systematic study to discover the properties of a subclass of meromorphic starlike functions defined using the Mittag–Leffler three-parameter function.
Daniel Breaz   +2 more
doaj   +1 more source

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