Results 11 to 20 of about 2,827,055 (299)

NEIGHBOURHOODS OF UNIVALENT FUNCTIONS [PDF]

Bulletin of the Australian Mathematical Society, 2010
AbstractThe main result shows that a small perturbation of a univalent function is again a univalent function, hence a univalent function has a neighbourhood consisting entirely of univalent functions. For the particular choice of a linear function in the hypothesis of the main theorem, we obtain a corollary which is equivalent to the classical Noshiro–
Pascu, Mihai N., Pascu, Nicolae R.
openaire   +3 more sources

Remark on functions with all derivatives univalent

International Journal of Mathematics and Mathematical Sciences, 1980
An attractive conjecture is discounted for the class of normalized univalent functions whose derivatives are also univalent.
M. Lachance
doaj   +2 more sources

Univalent Functions [PDF]

, 2011
Bu tez beş bölümden oluşmaktadır. Birinci bölümde tezin amacı, kaynaklar veunivalent fonksiyonlar hakkında genel bilgiler verilmiştir. İkinci bölümde komplekstrigonometrik bağıntılar, kompleks türevler, kompleks integraller ile ilgili bilgilerverilmiştir.
Cihangiroğlu, Mine
openaire   +2 more sources

Inverse and Logarithmic Coefficient Bounds of Concave Univalent Functions

Axioms
The concept of coefficient estimates on univalent functions is one of the interesting aspects explored recently by many researchers. Motivated by this direction, in this present work, we obtain the upper bounds of initial inverse coefficients and ...
Kuppusami Sakthivel, Nak Eun Cho, Srikandan Sivasubramanian   +2 more
doaj   +2 more sources

Univalency of Certain Transform of Univalent Functions

Proceedings of the Bulgarian Academy of Sciences, 2023
We consider univalency problem in the unit disc $$\mathbb{D}$$ of the function \[g(z)=\frac{(z/f(z))-1}{-a_{2}}, \] where $$f$$ belongs to some classes of univalent functions in $$\mathbb{D}$$ and $$a_{2}=\frac{f''(0)}{2}\neq 0$$.
Obradović, Milutin, Tuneski, Nikola
openaire   +3 more sources

On the Univalence of Poly-analytic Functions [PDF]

Computational Methods and Function Theory, 2021
A continuous complex-valued function $F$ in a domain $D\subseteq\mathbf{C}$ is Poly-analytic of order $α$ if it satisfies $\partial^α_{\overline{z}}F=0.$ One can show that $F$ has the form $F(z)={\displaystyle\sum\limits_{0}^{n-1}}\overline{z}^{k}A_{k}(z)$, where each $A_k$ is an analytic function$.$ In this paper, we prove the existence of a Landau ...
Abdulhadi, Zayid, Hajj, Layan El
openaire   +2 more sources

Product of univalent functions [PDF]

Mathematical 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

Initial coefficients for generalized subclasses of bi-univalent functions defined with subordination [PDF]

, 2022
summary:This paper is concerned with certain generalized subclasses of bi-univalent functions defined with subordination in the open unit disc $E=\left\rbrace z:\mid z \mid
Singh, Gurmeet, Singh, Gurcharanjit, Singh, Gagandeep   +2 more
core   +1 more source

On the Derivative of a Univalent Function [PDF]

Proceedings 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

Univalence Criteria for Locally Univalent Analytic Functions

Ukrainian 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, Fan, Jinhua, Wang, Xiaoyuan   +2 more
openaire   +1 more source