Results 41 to 50 of about 36,653 (283)
The Gauss Map and Nonholomorphic Harmonic Maps [PDF]
Proceedings of the American Mathematical Society, 1983 J. Eells and J. C. Wood [2] gave the fundamental method of construction of certain harmonic maps from Riemann surfaces to complex projective spaces. In this paper, we will construct nonholomorphic harmonic maps of Kaehler manifolds to complex Grassmann manifolds as the Gauss maps for holomorphic immersions of Kaehler manifolds to complex projective ...
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Molecular Oncology, EarlyView.Nanosecond infrared laser (NIRL) low‐volume sampling combined with shotgun lipidomics uncovers distinct lipidome alterations in oropharyngeal squamous cell carcinoma (OPSCC) of the palatine tonsil. Several lipid species consistently differentiate tumor from healthy tissue, highlighting their potential as diagnostic markers.
Leonard Kerkhoff +11 more
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On Linear Combinations of Harmonic Mappings Convex in the Horizontal Direction
Universal Journal of Mathematics and ApplicationsThe process of creating univalent harmonic mappings which are not analytic is not simple or straightforward. One efficient method for constructing desired univalent harmonic maps is by taking the linear combination of two suitable harmonic maps. In this
Elif Yaşar
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Directional Convexity of Convolutions of Harmonic Functions
International Journal of Mathematics and Mathematical Sciences, 2019 Harmonic functions can be constructed using two analytic functions acting as their analytic and coanalytic parts but the prediction of the behavior of convolution of harmonic functions, unlike the convolution of analytic functions, proved to be ...
Jay M. Jahangiri, Raj Kumar Garg
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Operator valued Dirichlet problem in the plane [PDF]
, 2012 We consider an operator valued Dirichlet problem for harmonic mappings and prove the existence of a Perron-like solution. To formulate the Perron’s construction we make use of Olson’s notion of spectral order.
Gogus, Nihat Gokhan +1 more
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Coefficients of univalent harmonic mappings
, 2017 Let $\mathcal{S}_H^0$ denote the class of all functions $f(z)=h(z)+\overline{g(z)}=z+\sum^\infty_{n=2} a_nz^n +\overline{\sum^\infty_{n=2} b_nz^n}$ that are sense-preserving, harmonic and univalent in the open unit disk $|z|
Kaliraj, Anbareeswaran Sairam +2 more
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Molecular Oncology, EarlyView.Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson +9 more
wiley +1 more source
Hardy-Littlewood and Caccioppoli-Type Inequalities for A-Harmonic Tensors
Journal of Inequalities and Applications, 2010 We prove the new versions of the weighted Hardy-Littlewood inequality and Caccioppoli-type inequality for A-harmonic tensors. We also explore applications of our results to K-quasiregular mappings and p-harmonic functions in Rn.
Shusen Ding, Peilin Shi
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Harmonic mappings onto R-convex domains
Проблемы анализа, 2019 The plane domain D is called R-convex if D contains each compact set bounded by two shortest sub-arcs of the radius R with endpoints w1, w2 ∈ D, |w1−w2|
Graf S. Yu.
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BOHR PHENOMENON FOR THE SPECIAL FAMILY OF ANALYTIC FUNCTIONS AND HARMONIC MAPPINGS
Проблемы анализа, 2020 In this paper we obtain the sharp Bohr radius for a family of bounded analytic functions B` and for the family of sensepreserving K-quasiconformal harmonic mappings of the form f = h + ¬g , where h ∈ B`
S. A. Alkhaleefah
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