Results 1 to 10 of about 52,267 (162)
Harmonic Morphisms Projecting Harmonic Functions to Harmonic Functions [PDF]
Abstract and Applied Analysis, 2012 For Riemannian manifolds M and N, admitting a submersion ϕ with compact fibres, we introduce the projection of a function via its decomposition into horizontal and vertical components. By comparing the Laplacians on M and N, we determine conditions under
M. T. Mustafa
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Symmetry, Integrability and Geometry: Methods and Applications, 2007 Characterizations of entire subsolutions for the 1-harmonic equation of a constant 1-tension field are given with applications in geometry via transformation group theory.
Shihshu Walter Wei
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Construction of Planar Harmonic Functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disk can be written in the form f=h+g¯, where h and g are analytic in the open unit disk.
Jay M. Jahangiri +2 more
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Harmonic spirallike functions and harmonic strongly starlike functions
Monatshefte Fur Mathematik, 2022 Harmonic functions are natural generalizations of conformal mappings. In recent years, a lot of work have been done by some researchers who focus on harmonic starlike functions. In this paper, we aim to introduce two classes of harmonic univalent functions of the unit disk, called hereditarily $λ$-spirallike functions and hereditarily strongly starlike
Xiu-Shuang Ma +2 more
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Harmonic series with polylogarithmic functions [PDF]
Vojnotehnički Glasnik, 2022 Introduction/purpose: Some sums of the polylogarithmic function associated with harmonic numbers are established. Methods: The approach is based on using the summation methods.
Vuk Stojiljković +2 more
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Axially Harmonic Functions and the Harmonic Functional Calculus on the S-spectrum
The Journal of Geometric Analysis, 2022 AbstractThe spectral theory on theS-spectrum was introduced to give an appropriate mathematical setting to quaternionic quantum mechanics, but it was soon realized that there were different applications of this theory, for example, to fractional heat diffusion and to the spectral theory for the Dirac operator on manifolds.
Colombo F. +3 more
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Functionals of Harmonics Functions [PDF]
The First International Conference on Symmetry, 2018 Ministerio de Economía y ...
Quintero, Niurka R. +2 more
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Monogenic functions and harmonic vectors
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 We consider special topological vector spaces with a commutative multiplication for some of elements of the spaces and monogenic functions taking values in these spaces.
Sergiy Plaksa
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ON MULTIVALENT HARMONIC MEROMORPHIC FUNCTIONS INVOLVING HYPERGEOMETRIC FUNCTIONS [PDF]
المجلة العراقية للعلوم الاحصائية, 2011 In this paper we introduce a subclass of multivalent harmonic meromorphic functions defined in the exterior of the unit disk by using generalize hypergeometric functions.
ABDULRAHMAN SALMAN JUMA
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Harmonic functions and gravity localization
Journal of High Energy Physics, 2023 In models with extra dimensions, matter particles can be easily localized to a ‘brane world’, but gravitational attraction tends to spread out in the extra dimensions unless they are small. Strong warping gradients can help localize gravity closer to the
G. Bruno De Luca +3 more
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