نتایج جستجو برای: locally univalent

تعداد نتایج: 81943  

Journal: :Int. J. Math. Mathematical Sciences 2011
Adam Lecko Millenia Lecko

For r > 0 let r {z ∈ : |z| < r}. Let 1 . Let the functions f and F be analytic in the unit disc . A function f is called subordinate to F, written f ≺ F, if F is univalent in , f 0 F 0 and f ⊂ F . Let D be a domain in 2 and ψ : 2 ⊃ D → be an analytic function, and let p be a function analytic in with p z , zp′ z ∈ D, z ∈ and h be a function analytic and univalent in . The function p is said to ...

2007
Nak Eun Cho Shigeyoshi Owa Narendra K. Govil

Let f and F be members of . The function f is said to be subordinate to F, or F is said to be superordinate to f , if there exists a function w analytic in U, with w(0)= 0 and |w(z)| < 1, and such that f (z)= F(w(z)). In such a case, we write f ≺ F or f (z)≺ F(z). If the function F is univalent in U, then f ≺ F if and only if f (0)= F(0) and f (U)⊂ F(U) (cf. [1, 2]). Let φ : C2 → C and let h be...

Journal: :Int. J. Math. Mathematical Sciences 2007
Jay M. Jahangiri Herb Silverman Evelyn M. Silvia

Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disk can be written in the form f = h+ g, where h and g are analytic in the open unit disk. The functions h and g are called the analytic and coanalytic parts of f , respectively. In this paper, we construct certain planar harmonic maps either by varying the coanalytic parts of harmonic functions that are...

1997
Tomasz Dubejko TOMASZ DUBEJKO

It has been shown that univalent circle packings lling in the complex plane C are unique up to similarities of C. Here we prove that bounded degree branched circle packings properly covering C are uniquely determined, up to similarities of C, by their branch sets. In particular, when branch sets of the packings considered are empty we obtain the earlier result. We also establish a circle packin...

Journal: :bulletin of the iranian mathematical society 2011
a. amini-harandi a. p. farajzadeh

Journal: :Mathematische Zeitschrift 1980

Journal: :Annales Academiae Scientiarum Fennicae Series A I Mathematica 1984

Journal: :Annales Polonici Mathematici 1992

2011
VALENTIN MATACHE WAYNE SMITH

Brennan’s conjecture in univalent function theory states that if τ is any analytic univalent transform of the open unit disk D onto a simply connected domain G and −1/3 < p < 1, then 1/(τ ′)p belongs to the Hilbert Bergman space of all analytic square integrable functions with respect to the area measure. We introduce a class of analytic function spaces La(μp) on G and prove that Brennan’s conj...

2012
Nasser AL KASBI Maslina DARUS

Abstract -A complex-valued functions that are univalent and sense preserving in the unit disk U can be written in the form ( ) ( ) ( ) f z h z g z   , where U(z) and g(z) are analytic in. We will introduced the operator D which defined by convolution involving the polylogarithms functions. Using this operator, we introduce the class HP(,, n) by generalized derivative operator of harmonic un...

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