On Harmonic Meromorphic Functions Associated with Basic Hypergeometric Functions by Huda Al dweby, Maslina Darus

“…By making use of basic hypergeometric functions, a class of complex harmonic meromorphic functions with positive coefficients is introduced. …”
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Investigation of the Composite Motor Load in the Presence of Higher Harmonics in the Electrical Network by Ya. E. Shklyarskiy, K. K. Lobko, Yu. N. Kuznetsova, M. S. Vorobyov

Subjects: “…higher harmonics…”
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Variational Integrals of a Class of Nonhomogeneous 𝒜-Harmonic Equations by Guanfeng Li, Yong Wang, Gejun Bao

“…We introduce a class of variational integrals whose Euler equations are nonhomogeneous 𝒜-harmonic equations. We investigate the relationship between the minimization problem and the Euler equation and give a simple proof of the existence of some nonhomogeneous 𝒜-harmonic equations by applying direct methods of the calculus of variations. …”
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Asymptotics of Time Harmonic Solutions to a Thin Ferroelectric Model by Naïma Aïssa, Kamel Hamdache

“…We consider a thin cylinder representing the material with thickness ɛ and discuss the asymptotic behavior of the time harmonic solutions to the model when ɛ tends to 0. …”
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Corrigendum to “The Properties of a New Subclass of Harmonic Univalent Mappings” by Zhi-Hong Liu, Ying-Chun Li

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A Family of Minimal Surfaces and Univalent Planar Harmonic Mappings by Michael Dorff, Stacey Muir

“…We present a two-parameter family of minimal surfaces constructed by lifting a family of planar harmonic mappings. In the process, we use the Clunie and Sheil-Small shear construction for planar harmonic mappings convex in one direction. …”
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The Existence of Solutions to the Nonhomogeneous A-Harmonic Equations with Variable Exponent by Haiyu Wen

“…We first discuss the existence and uniqueness of weak solution for the obstacle problem of the nonhomogeneous A-harmonic equation with variable exponent, and then we obtain the existence of the solutions of the equation d⋆A(x,dω)=B(x,dω) in the weighted variable exponent Sobolev space Wdp(x)(Ω,Λl,μ).…”
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General Approach to Regions of Variability via Subordination of Harmonic Mappings by Sh. Chen, S. Ponnusamy, X. Wang

“…Using subordination, we determine the regions of variability of several subclasses of harmonic mappings. We also graphically illustrate the regions of variability for several sets of parameters for certain special cases.…”
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Existence of Solutions for Nonhomogeneous A-Harmonic Equations with Variable Growth by Yongqiang Fu, Lifeng Guo

“…We study the following nonhomogeneous A-harmonic equations: d*A(x,du(x))+B(x,u(x))=0,    x∈Ω,  u(x)=0,  x∈∂Ω, where Ω⊂ℝn is a bounded and convex Lipschitz domain, A(x,du(x)) and B(x,u(x)) satisfy some p(x)-growth conditions, respectively. …”
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Twistor fibrations giving primitive harmonic maps of finite type by Rui Pacheco

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Harmonic Analysis of the Spatiotemporal Pattern of Thunderstorms in Iran (1961–2010) by Ali Akbar Sabziparvar, Seyed Hossein Mir Mousavi, Mostafa Karampour, Mehdi Doostkamian, Esmaeil Haghighi, Iman Rousta, Haraldur Olafsson, Md Omar Sarif, Rajan Dev Gupta, Md Moniruzzaman, Khairul Hasan, Ali Ghasemi

“…However, in recent decades, this pattern has experienced a declining trend, especially in southern areas of Iran. The results of harmonic analysis indicated that mainly short-term and midterm cycles dominated Iran’s thunderstorms.…”
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Spectral multiplier theorems for abstract harmonic oscillators on UMD lattices by van Neerven, Jan, Portal, Pierre, Sharma, Himani

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Continuous in time bubble decomposition for the harmonic map heat flow by Jacek Jendrej, Andrew Lawrie, Wilhelm Schlag

“…We consider the harmonic map heat flow for maps $\mathbb {R}^{2} \to \mathbb {S}^2$ . …”
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The Schur Multiplicative and Harmonic Convexities for Three Classes of Symmetric Functions by Ming-bao Sun, Xin-ping Li, Ying-hui Zhang, Zai-yuan Zhang

“…We investigate the Schur harmonic convexity for two classes of symmetric functions and the Schur multiplicative convexity for a class of symmetric functions by using a new method and generalizing previous result. …”
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Fejér and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions by Feixiang Chen, Shanhe Wu

“…We establish a Fejér type inequality for harmonically convex functions. Our results are the generalizations of some known results. …”
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Harmonic Classification with Enhancing Music Using Deep Learning Techniques by Wen Tang, Linlin Gu

“…Automatic extraction of features from harmonic information of music audio is considered in this paper. …”
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Face Boundary Formulation for Harmonic Models: Face Image Resembling by Hung-Tsai Huang, Zi-Cai Li, Yimin Wei, Ching Yee Suen

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Retracted: An Application of Variational Minimization: Quasi-Harmonic Coons Patches by Journal of Function Spaces

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On the Approximation of Entire Harmonic Functions in ℝn Having Slow Growth by Devendra Kumar, A. Ghareeb

“…The main purpose of this paper is to study the harmonic polynomial approximation of entire harmonic functions in space ℝn, n≥3, in certain Banach spaces. …”
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Nonlinear Vibration Analysis of Rotor considering Cogging and Harmonic Effects by Shanle Li, Feng Liu, Hongyan Wang, Haijun Song, Kuilong Yu

“…Results showed that errors between finite and analytical results were smaller considering cogging and harmonic effects. When the harmonics were taken into consideration, the vibration of rotor increases sharply. …”
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