Results 21 to 30 of about 11,431,351 (352)
Algebraic formulas for the coefficients of mock theta functions and Weyl vectors of Borcherds products [PDF]
, 2017 We present some applications of the Kudla-Millson and the Millson theta lift. The two lifts map weakly holomorphic modular functions to vector valued harmonic Maass forms of weight $3/2$ and $1/2$, respectively.
Bruinier, Jan Hendrik +1 more
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Three circles theorems for harmonic functions [PDF]
, 2016 We proved two three circles theorems for harmonic functions on manifolds in integral sense. As one application, on manifold with nonnegative Ricci curvature, whose tangent cone at infinity is the unique metric cone with unique conic measure, we showed ...
Guoyi Xu
semanticscholar +1 more source
Vector-valued holomorphic and harmonic functions
Concrete Operators, 2016 Holomorphic and harmonic functions with values in a Banach space are investigated. Following an approach given in a joint article with Nikolski [4] it is shown that for bounded functions with values in a Banach space it suffices that the composition with
Arendt Wolfgang
doaj +1 more source
On surface completion and image inpainting by biharmonic functions: Numerical aspects [PDF]
, 2018 Numerical experiments with smooth surface extension and image inpainting using harmonic and biharmonic functions are carried out. The boundary data used for constructing biharmonic functions are the values of the Laplacian and normal derivatives of the ...
Damelin, S. B., Hoang, N. S.
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Harmonic functions associated with Pascal distribution series
Scientific African, 2023 The primary objective of this paper is to explore the application of a specific convolution operator, which incorporates the Pascal distribution series. Through this investigation, we establish essential inclusion relations between the harmonic class HΥ ...
B.A. Frasin +3 more
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Harmonic Functions On Manifolds Whose Large Sphere Are Small [PDF]
, 2015 We study the growth of harmonic functions on complete Riemann-ian manifolds where the extrinsic diameter of geodesic spheres is sublinear. It is an generalization of a result of A. Kazue. We also get a Cheng and Yau estimates for the gradient of harmonic
Carron, Gilles
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Fixed-energy harmonic functions
Discrete Analysis, 2017 Fixed-energy harmonic functions, Discrete Analysis 2017:18, 21 pp. The classical Dirichlet problem asks for a harmonic function in the interior of a region that takes specified values on the boundary.
Aaron Abrams, Richard Kenyon
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Several properties of $$\alpha $$α-harmonic functions in the unit disk [PDF]
, 2016 The aim of this paper is to obtain the Schwarz–Pick type inequality for $$\alpha $$α-harmonic functions f in the unit disk and get estimates on the coefficients of f.
Peijin Li, Xiantao Wang, Qianhong Xiao
semanticscholar +1 more source
Some inequalities for strongly $(p,h)$-harmonic convex functions
Karpatsʹkì Matematičnì Publìkacìï, 2019 In this paper, we show that harmonic convex functions $f$ is strongly $(p, h)$-harmonic convex functions if and only if it can be decomposed as $g(x) = f(x) - c (\frac{1}{x^p})^2,$ where $g(x)$ is $(p, h)$-harmonic convex function.
M.A. Noor, K.I. Noor, S. Iftikhar
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Eichler integrals and harmonic weak Maass forms [PDF]
, 2013 Recently, K. Bringmann, P. Guerzhoy, Z. Kent and K. Ono studied the connection between Eichler integrals and the holomorphic parts of harmonic weak Maass forms on the full modular group.
Choi, Dohoon +2 more
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