Results 21 to 30 of about 17,307,930 (337)

Product of univalent functions [PDF]

open access: yesMathematical and Computer Modelling, 2013
Abstract Let S denote the class of functions f analytic and univalent in the unit disk | z | 1 normalized such that f ( 0 ) = 0 = f ′ ( 0 ) − 1 . In this article the authors discuss the radius of univalence of F ( z ) = g ( z ) h ( z ) / z when g and h belong ...
Milutin Obradovic, Saminathan Ponnusamy
openaire   +2 more sources

Coefficients Estimates of Bi-Univalent Functions Defined by New Subclass Function

open access: yesJournal of Physics, Conference Series, 2020
In this paper, we introduce and investigate some new subclasses Sγn,q(λ,m,ϕ) and Wxk,α(λ,δ,ϕ) of bi-univalent functions in the unit disk U, which satisfies the qusi-subordination condition. We obtain estimates the first two Taylor-Maclarurin coefficients
Sarah A. Al-Ameedee   +2 more
semanticscholar   +1 more source

On the Derivative of a Univalent Function [PDF]

open access: yesProceedings of the American Mathematical Society, 1953
Various results are known concerning the rate of growth of the derivative of a function f(z), analytic and univalent in the circle Izi
Lohwater, A. J., Piranian, George
openaire   +1 more source

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

(P,Q)-Lucas polynomial coefficient inequalities of the bi-univalent function class

open access: yesTurkish Journal of Mathematics, 2019
Recently, Lucas polynomials and other special polynomials gained importance in the field of geometric function theory. In this study, by connecting these polynomials, subordination, and the Al-Oboudi differential operator, we introduce a new class of bi ...
A. Akgül
semanticscholar   +1 more source

Successive Logarithmic Coefficients of Univalent Functions

open access: yesComputational methods in Function Theory, 2023
The paper deals with logarithmic coefficients of univalent functions. The sharp lower and upper estimations of $$|\gamma _2(f)|-|\gamma _1(f)|$$ | γ 2 ( f ) | - | γ 1 ( f ) | were obtained in the class $${\mathcal {S}}$$ S , where $$\gamma _n(f)$$ γ n ...
A. Lecko, Dariusz Partyka
semanticscholar   +1 more source

Univalence Criteria for Locally Univalent Analytic Functions

open access: yesUkrainian Mathematical Journal, 2023
UDC 517.5 Suppose that  p ( z ) = 1 + z ϕ ' ' ( z ) / ϕ ' ( z ) , where   ϕ ( z ) is a locally univalent analytic function in the unit disk D   with ϕ ( 0 ) = ϕ ' ( 1 ) - 1 = 0.   We establish the lower and upper bounds for the best constants σ 0
Hu, Zhenyong   +2 more
openaire   +1 more source

Maclaurin Coefficient Estimates for New Subclasses of Bi-univalent Functions Connected with a q-Analogue of Bessel Function

open access: yes, 2020
In this paper, we introduce new subclasses of the function class of bi-univalent functions connected with a - analogue of Bessel function and defined in the open unit disc. Furthermore, we find estimates on the first two Taylor-Maclaurin coefficients and
S. El-Deeb
semanticscholar   +1 more source

A class of univalent functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1973
A sharp coefficient estimate is obtained for a class D ( α
Caplinger, T. R., Causey, W. M.
openaire   +2 more sources

The Yukawa Potential Function and Reciprocal Univalent Function [PDF]

open access: yes, 2013
This paper presents a mathematical model that provides analytic connection between four fundamental forces (interactions), by using modified reciprocal theorem,derived in the paper, as a convenient template.
Darus, Maslina, Pishkoo, Amir
core   +1 more source

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