Results 61 to 70 of about 112 (107)

On a subclass of multivalent functions defined by generalized multiplier transformation

Open Mathematics
The objective of this study is to establish a novel category of multivalent analytic functions by utilizing generalized multiplier transformations. The subclass is further examined for coefficient estimations, growth and distortion theorems, extreme ...
Alharayzeh Ma’moun I. Y.
doaj   +1 more source

Bounds of third and fourth Hankel determinants for a generalized subclass of bounded turning functions subordinated to sine function [PDF]

The objective of this paper is to investigate the bounds of third and fourth Hankel determinants for a generalized subclass of bounded turning functions associated with sine function, in the open unit disc E = {z ∈ C : |z| < 1}.
SINGH, Gagandeep, SINGH, Gurcharanjit
core   +1 more source

Coefficient functionals for Sakaguchi-type-Starlike functions subordinated to the three-leaf function

Demonstratio Mathematica
A challenging part of studying geometric function theory is figuring out the sharp boundaries for coefficient-related problems that crop up in the Taylor-Maclaurin series of univalent functions.
Murugusundaramoorthy Gangadharan, Lupas Alina Alb, Alburaikan Alhanouf, El-Deeb Sheza M.   +3 more
doaj   +1 more source

Faber polynomial coefficient bounds for a subclass of bi-univalent functions [PDF]

, 2016
In this work, considering a general subclass of bi-univalent functions and using the Faber polynomials, we obtain coefficient expansions for functions in this class.
YALÇIN, Sibel, ALTINKAYA, Şahsene
core  

Coefficient estimates and Fekete-Szegö problem for some classes of univalent functions generalized to a complex order

Demonstratio Mathematica
In this article, we determine coefficient estimates and study the Fekete-Szegö problem for classes Λn(b){\Lambda }_{n}\left(b) and Λnc(b){\Lambda }_{n}^{c}\left(b), where bb is a nonzero complex order.
Aron Mihai
doaj   +1 more source

Symmetric Toeplitz Determinants for Classes Defined by Post Quantum Operators Subordinated to the Limaçon Function [PDF]

The present extensive study is focused to find estimates for the upper bounds of the Toeplitz determinants. The logarithmic coefficients of univalent functions play an important role in different estimates in the theory of univalent functions, and in ...
SANGARAMBADI PADMANABHAN, Vijayalakshmi, BULBOACĂ, Teodor, VINJIMUR SUDHARSAN, Thirumalai   +2 more
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HANKEL DETERMINANT FOR p-VALENT STARLIKE AND CONVEX FUNCTIONS OF ORDER

, 2015
. The objective of this paper is to obtain an upper bound to the second Hankel determinant jap+1ap+3 a2p+2j for p-valent starlike and convex functions of order , using Toeplitz determinants.
D. Vamshee Krishna, T. Ramreddy
core  

Properties of a class of multivalent functions starlike with respect to symmetric and conjugate points 1 [PDF]

, 2020
Let S be the class of functions analytic and multivalent in the open unit disc given by a p+n z p+n and a n ∈ C. In this paper we have studied three subclasses consisting of analytic functions with negative coefficients and starlike with respect to ...
S M Khairnar, S M Rajas
core  

Some properties of a class of holomorphic functions associated with tangent function

Demonstratio Mathematica
In this study, we define new class of holomorphic functions associated with tangent function. Furthermore, we examine the differential subordination implementation results related to Janowski and tangent functions. Also, we investigate some extreme point
Khan Muhammad Ghaffar, Mashwani Wali Khan, Salleh Zabidin, Tchier Fairouz, Khan Bilal, Malik Sarfraz Nawaz   +5 more
doaj   +1 more source

On Littlewood's Constants [PDF]

, 2017
In two papers, Littlewood studied seemingly unrelated constants: (i) the best α such that for any polynomial f, of degree n, the areal integral of its spherical derivative is at most ·nα, and (ii) the extremal growth rate rβ of the length of Green's ...
Beliaev, D., Smirnov, S.
core