Results 91 to 100 of about 201 (176)
On quasiconformal extension of harmonic mappings with nonzero pole
Comptes Rendus. MathématiqueLet $\Sigma _H^k(p)$ be the class of sense-preserving univalent harmonic mappings defined on the open unit disk $\mathbb{D}$ of the complex plane with a simple pole at $z=p \in (0,1)$ that have $k$-quasiconformal extensions ($0\le ...
Bhowmik, Bappaditya, Satpati, Goutam
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Annales Academiae Scientiarum Fennicae Series A I Mathematica, 1984 Clunie, J., Sheil-Small, T.
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On Certain Class of Harmonic Univalent Functions
Journal of Applied Computer Science & Mathematics, 2012 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 Dn which defined by convolution involving the polylogarithms functions.
Maslina DARUS, Nasser AL KASBI
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Le Matematiche, 2014 In this paper, we investigate several properties of the harmonic class defined by the modified Dziok-Sirvastava operator, obtain distortion theorem, extreme points, convolution condition, convex combinations and integral operator for this class.
M. K. Aouf +2 more
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A new class of Salagean-type harmonic univalent functions
Applied Mathematics Letters, 2005 Let harmonic functions \(f\) in the unit disk \(U\) be given by \[ f(z)=h(z)+\overline{g(z)}=z+\sum_{k=2}^{\infty}a_kz^k+\overline{\sum_{k=1}^{\infty}b_kz^k}, \] \(| b_1| \alpha,\;\;\;z\in U, \] where \[ D^mf(z)=z+\sum_{k=2}^{\infty}k^ma_kz^k+(-1)^m\overline{\sum_{k=1}^{\infty}k^mb_kz^k}. \] The subclass \(\overline S_H(m,n;\alpha)\) consists of \(f=h+\
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Subclass of harmonic starlike functions associated with salagean derivative
Le Matematiche, 2014 The purpose of the present paper is to establish some results involving coefficient conditions, distortion bounds, extreme points, convolution, and convex combinations for a new class of harmonic univalent functions in the open unit disc \ associated ...
H. E. Darwish +2 more
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Unconstrained Optimization of Univalent Harmonic Functions
Diyala Journal for Pure Science, 2022 Wadhah Abdulelah Hussein +1 more
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L h 2 -Functions in Unbounded Balanced Domains. [PDF]
J Geom Anal, 2017 Pflug P, Zwonek W.
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On a subclass of harmonic univalent functions
Journal of Physics: Conference Series, 2018 R Bharavi Sharma, B Ravindar
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Theoretical Bases for the Role of Red Blood Cell Shape in the Regulation of Its Volume. [PDF]
Front Physiol, 2020 Svetina S.
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