Results 11 to 20 of about 94,123 (267)
BASIC DONKIN'S DIFFERENTIAL OPERATORS FOR HOMOGENEOUS HARMONIC FUNCTIONS
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2019 It is shown that there are the differential operators that transform three-dimensional homogeneous harmonic functions into new three-dimensional homogeneous harmonic functions.
Berdnikov Alexander +3 more
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Studying the Harmonic Functions Associated with Quantum Calculus
Mathematics, 2023 Using the derivative operators’ q-analogs values, a wide variety of holomorphic function subclasses, q-starlike, and q-convex functions have been researched and examined.
Abdullah Alsoboh +3 more
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Harmonic analysis of harmonic functions in the plane [PDF]
Proceedings of the American Mathematical Society, 1976 A continuous function on the complex plane is harmonic if and only if the span of its compositions with entire functions is not dense in the space of continuous functions in the topology of uniform convergence on compact sets.
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Harmonic numbers, harmonic series and zeta function
Moroccan Journal of Pure and Applied Analysis, 2018 This paper reviews, from different points of view, results on Bernoulli numbers and polynomials, the distribution of prime numbers in connexion with the Riemann hypothesis. We give an account on the theorem of G. Robin, as formulated by J. Lagarias.
Sebbar Ahmed
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Further result on Dirichlet-Sch type inequality and its application
Journal of Inequalities and Applications, 2017 In this paper we deal with a theoretical question raised in connection with the application of Dirichlet-Sch type inequality, obtained by Huang (Int. Math. J.
Liquan Wan
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Fourier coefficients and growth of harmonic functions
International Journal of Mathematics and Mathematical Sciences, 1987 We consider Harmonic Functions, H of several variables. We obtain necessary and sufficient conditions on its Fourier coefficients so that H is an entire harmonic (that is, has no finite singularities) function; the radius of harmonicity in terms of its ...
A. fryant, H. Shankar
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On the asymptotic events of a Markov chain
International Journal of Mathematics and Mathematical Sciences, 1979 In this paper we investigate some structure properties of the tail σ-field and the invariant σ-field of both homogeneous and nonhomogeneous Markov chains as representations for asymptotic events, descriptions of completely nonatomic and atomic sets and ...
Harry Cohn
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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. In particular, we prove that every level hypersurface of such a subsolution is calibrated and hence is area-minimizing over $\mathbb{R}$; and every 7-dimensional $SO(2)\times SO(6)$-
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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 s-harmonic functions on cones [PDF]
Analysis & PDE, 2018 We deal with non negative functions satisfying \[ \left\{ \begin{array}{ll} (-Δ)^s u_s=0 & \mathrm{in}\quad C, u_s=0 & \mathrm{in}\quad \mathbb{R}^n\setminus C, \end{array}\right. \] where $s\in(0,1)$ and $C$ is a given cone on $\mathbb R^n$ with vertex at zero.
Terracini, S, Tortone, G, Vita, S
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