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On a Property of Harmonic Functions
Zeitschrift für Analysis und ihre Anwendungen, 1995If we divide the space \mathbb R^n into two disjoint areas with one common hypersurface and define a harmonic function in each part of these areas such that their gradients vanish at infinity and the normal components of their gradients are equal on
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Increasing functions, harmonic bloch and harmonic normal functions
Complex Variables and Elliptic Equations, 1999In this note, characterization for harmonic Bloch functions and harmonic normal functions are given by means of increasing functions.
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On univalent harmonic functions
2002In 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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Harmonic functions and collision probabilities
Proceedings of the 1994 IEEE International Conference on Robotics and Automation, 1997There is a close relationship between harmonic functions— which have recently been proposed for path planning—and hitting probabilities for random processes. The hitting proba bilities for random walks can be cast as a Dirichlet problem for harmonic functions, in much the same way as in path plan ning.
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The “Harmonic” Rejecting Correlation Function
Multidimensional Systems and Signal Processing, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Explicit p-harmonic functions on the real Grassmannians
Advances in Geometry, 2023Sigmundur Gudmundsson
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Laurent expansion of harmonic zeta functions
Journal of Mathematical Analysis and Applications, 2020Bernard Candelpergher +1 more
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An Application of Poisson Distribution Series on Harmonic Classes of Analytic Functions
Symmetry, 2023Alb Lupas Daciana Alina +1 more
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A Class of k-Symmetric Harmonic Functions Involving a Certain q-Derivative Operator
Mathematics, 2021Qazi Zahoor Ahmad +2 more
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On a Class of Harmonic Functions
Journal of the London Mathematical Society, 1948openaire +2 more sources