Results 21 to 30 of about 5,509 (167)

Some Subclasses of Univalent and Bi-Univalent Functions Related to K-Fibonacci Numbers and Modified Sigmoid Function

open access: yesمجلة بغداد للعلوم, 2023
            This paper is interested in certain  subclasses of univalent and bi-univalent functions concerning  to shell- like curves connected with k-Fibonacci numbers involving modified Sigmoid activation function θ(t)=2/(1+e^(-t) ) ,t ≥0 in unit disk
Amal Madhi Rashid, Abdul Rahman S. Juma
doaj   +1 more source

Second Hankel Determinant of Bi-univalent Functions

open access: yesMalaysian Journal of Fundamental and Applied Sciences, 2023
Let  be the class of functions which are analytic in the open unit disk and having the form . Denote  to be the class for all functions in  that are univalent in . Then, let  denote the class of bi-univalent functions in . In this paper, we obtain the second Hankel determinant for certain classes of analytic bi-univalent function which are defined by ...
Kiu Shu Huey   +3 more
openaire   +1 more source

Certain Inequalities for a General Class of Analytic and Bi-univalent Functions [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2019
In this work, the subclass of the function class S of analytic and bi-univalent functions is defined and studied in the open unit disc. Estimates for initial coefficients of Taylor- Maclaurin series of bi-univalent functions belonging these class are ...
Arzu Akgul
doaj   +1 more source

Bounds For the Coefficients of Two New Subclasses of Bi-Univalent Functions

open access: yesScience Journal of University of Zakho, 2022
This article discusses two new subclasses of the bi-univalent functions category ∑ in the open unit disk . The primary goal of the article is to obtain estimations of the coefficients  and for the functions that are within these two new subclasses.
khalid Ibrahim Abdullah   +1 more
doaj   +1 more source

Coefficient Bounds for Some Families of Bi-Univalent Functions with Missing Coefficients

open access: yesAxioms, 2023
A branch of complex analysis with a rich history is geometric function theory, which first appeared in the early 20th century. The function theory deals with a variety of analytical tools to study the geometric features of complex-valued functions.
Ebrahim Analouei Adegani   +3 more
doaj   +1 more source

Estimate for Initial MacLaurin Coefficients of Certain Subclasses of Bi-univalent Functions [PDF]

open access: yes, 2015
In this paper, estimates for second and third MacLaurin coefficients of certain subclasses of bi-univalent functions in the open unit disk defined by convolution are determined, and certain special cases are also indicated.
Alkahtani, Badr   +2 more
core   +2 more sources

A Subclass of Bi-Univalent Functions Based on the Faber Polynomial Expansions and the Fibonacci Numbers

open access: yesMathematics, 2019
In this investigation, by using the Komatu integral operator, we introduce the new class of bi-univalent functions based on the rule of subordination. Moreover, we use the Faber polynomial expansions and Fibonacci numbers to derive bounds for the general
Şahsene Altınkaya   +2 more
doaj   +1 more source

Estimates of Coefficients for Bi-Univalent Functions in the Subclass H_∑ (n,γ,φ)

open access: yesTikrit Journal of Pure Science, 2023
Considering that finding the bounds for the coefficients of the Taylor-Maclaurin series expansion of bi-univalent functions is one of the important subjects in geometric function theory that has attracted the attention of many researchers in the last ...
Khalid I. Abdullah , Nafya H. Mohammed
doaj   +1 more source

Smale's mean value conjecture for finite Blaschke products [PDF]

open access: yes, 2016
Motivated by a dictionary between polynomials and finite Blaschke products, we study both Smale's mean value conjecture and its dual conjecture for finite Blaschke products in this paper.
Ng, Tuen-Wai, Zhang, Yongquan
core   +2 more sources

Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series [PDF]

open access: yesSahand Communications in Mathematical Analysis
The present study is unique in exploring bi-univalent functions, which has recently garnered attention from many researchers in Geometric Function Theory (GFT).
Tunji Ibrahim Awolere   +2 more
doaj   +1 more source

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