Results 141 to 150 of about 201 (176)

On harmonic univalent functions

Complex Variables and Elliptic Equations, 1999
Let f = h + g be a harmonic, univalent and orientation-preserving function on the unit disk, where h and g are analytic. We show that log|h(eit)| and log|g(eit)| are BMO when some Bloch conditions are satisfied.
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A subclass of harmonic univalent functions with negative coefficients

Applied Mathematics and Computation, 2003
Let \(S_H\) denote the class of complex valued, harmonic, sense preserving functions in the unit disc \(D=\{z: | z| \beta, \quad 0\leq ...
Mümin Yamankaradeniz
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Comprehensive family of harmonic univalent functions

SUT Journal of Mathematics, 2006
Basem Aref Frasin
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Multiplier family of harmonic univalent functions

Applied Mathematics and Computation, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Sakaguchi-Type Harmonic Univalent Functions

International Journal of Open Problems in Complex Analysis, 2012
We consider the Sakaguchi functions which are starlike with respect to symmetrical points in the open unit disk U and extend it to class SH(;t ) concerning with Sakaguchi-type complex-valued harmonic univalent functions in U.
Elif Ya¸sar, Sibel Yal¸cın
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Bloch, BMO and harmonic univalent functions

Complex Variables and Elliptic Equations, 1996
Let be a harmonic univalent and orientation-preserving function on the unit disk, where h and g are analytic. We first give an example to show that there can be no upper-bound on the valency of h. Then we show that h is Bloch if, and only if, h is BMOA if, and only if, f is BMOA and we show that log h is Bloch if, and only if, log h is B MOA.
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On T-neighbourhoods of Harmonic Univalent Functions

Iranian Journal of Science and Technology, Transactions A: Science, 2019
In this present paper, given a sequence $$T=\{T_{n}\}_{n=2}^{\infty }$$ consisting of positive numbers, we define the $$T_{\delta }$$
Saman Azizi, Ali Ebadian, Sibel Yalçin
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On univalent harmonic functions

2002
In Ann. Acad. Sci. Fenn., Ser. A I 9, 3--25 (1984; Zbl 0506.30007) \textit{J. Clunie} and \textit{T. Sheil-Small } introduced and studied the class \(S_H\) of complex valued, harmonic, orientation preserving, univalent functions \(f\) in the unit disk normalized by \(f(0)=0\), \(f'_z(0)-1=0\). Such functions have representation \[ f(z)=h(z)+\overline{g}
Yalçın Tokgöz, Sibel, Öztürk, Metin
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On a subclass of harmonic univalent functions involving a linear operator

AIP Conference Proceedings, 2018
Making use of a multiplier transformation, we introduce a new class of complex valued harmonic functions which are orientation preserving and univalent in the open unit disk U. Relevant connections of the results presented here with various known results are briefly indicated.
Yalcin, SİBEL, ALTINKAYA, ŞAHSENE
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