Results 91 to 100 of about 5,426 (207)

Results on bi-univalent functions

, 1981
When the class σ \sigma of bi-univalent functions was first defined, it was known that functions of the form ϕ ∘ ψ − 1 ∈
D. J. Wright, D. Styer
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On the subclass of regular univalent functions

, 1987
In this thesis, we prove the results due to R.J. Libera and A. E. Livingston concerning the subclasses of regular, univalent functions such as class of starlike functions, class of convex functions and class of close-to-convex functions. Further, we show
이영춘
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On the coefficients of concave univalent functions

, 2020
Let D denote the open unit disc and f : D → ℂ̄ be meromorphic and injective in D. We assume that f is holomorphic at zero and has the expansion f(z) = z + ∞σ anzn Especially, we consider f that map D onto a domain whose complement with respect to ℂ̄ is ...
Wirths K., Avkhadiev F., Pommerenke C.
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Concave univalent functions

, 2019
Bu tez dört bölümden oluşmaktadır. Tezin amacı konkav yalınkat fonksiyonları detaylıca incelemek ve yeni sınıflar keşfetmektir. Birinci bölümde; tezin ilerleyen kısımlarında kullanılacak olan bazı temel tanımlar ve teoremler verildi.
Bayram, Hasan
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A new class of Salagean-type harmonic univalent functions

, 2005
We define and investigate a new class of Salagean-type harmonic univalent functions. We obtain coefficient conditions, extreme points, distortion bounds, convex combination and radii of convex for the above class of harmonic univalent ...

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An equation for complex fractional diffusion created by the Struve function with a T-symmetric univalent solution

Demonstratio Mathematica
A TT-symmetric univalent function is a complex valued function that is conformally mapping the unit disk onto itself and satisfies the symmetry condition ϕ[T](ζ)=[ϕ(ζT)]1∕T{\phi }^{\left[T]}\left(\zeta )={\left[\phi \left({\zeta }^{T})]}^{1/T} for all ζ ...
Ibrahim Rabha W., Baleanu Dumitru
doaj   +1 more source

Quasi-Convolution Properties of Analytic Function Subclasses Defined by a Generalized Binomial Operator

UMYU Scientifica Journal
The study of analytic and univalent functions in the open unit disk has received significant attention in geometric function theory due to its vast applications across mathematics and other related disciplines.
Abdulhakeem Bolakale Bello, Kunle Oladeji Babalola, Gabriel Oluwamuyiwa Olupitan, Rofiat Adewumi Aderinoye-Rabiu, Azeez Ade Jimoh   +4 more
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Two-point distortion for univalent functions [PDF]

, 1999
We discuss two-point distortion inequalities for (not necessarily normalized) univalent functions f on the unit disk D. By a two-point distortion inequality we mean an upper or lower bound on the Euclidean distance |f(a) − f(b)| in terms of d D (a; b ...
David Minda, William Ma
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A coefficient inequality for convex univalent functions

, 1975
A short proof of formula presented is given for normalized convex univalent functions.
S. Y. Trimble, Trimble, S. Y.
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Asymptotic tracts of locally univalent functions

, 2002
Several results are proved which are related to an old problem of G.R. MacLane, namely, whether functions in the class $\mathcal{A}$ that are locally univalent can have arc tracts.
Barth, Karl F., Rippon, Philip J.
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