Results 21 to 30 of about 476,746 (208)
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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Informatika, 2023 Objectives. Analytical solution of the boundary value problem of electrostatics for modeling the electrostatic field of a charged ring located inside a grounded infinite circular cylinder in the presence of a perfectly conducting torus is considered. The
G. Ch. Shushkevich
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Certain convex harmonic functions
International Journal of Mathematics and Mathematical Sciences, 2002 We define and investigate a family of complex-valued harmonic convex univalent functions related to uniformly convex analytic functions. We obtain coefficient bounds, extreme points, distortion theorems, convolution and convex combinations for this ...
Yong Chan Kim +2 more
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Transformation Method for Solving System of Boolean Algebraic Equations
Mathematics, 2021 In recent years, various methods and directions for solving a system of Boolean algebraic equations have been invented, and now they are being very actively investigated. One of these directions is the method of transforming a system of Boolean algebraic
Dostonjon Barotov +6 more
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Multiply Harmonic Functions [PDF]
Nagoya Mathematical Journal, 1966 Let Ω and Ω′ be two locally compact, connected Hausdorff spaces having countable bases. On each of the spaces is defined a system of harmonic functions satisfying the axioms of M. Brelot [2]. The following is the description of such a system. To each open set of Ω is assigned a vector space of finite continuous functions, called the harmonic functions,
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Stiffness of Harmonic Functions [PDF]
Proceedings of the American Mathematical Society, 1979 Harmonic functions cannot change rapidly. For example, if K is a compact subset of a Riemann surface R and {u} a family of harmonic functions u on R of nonconstant sign on K, then it is known that there exists a constant q ∈ ( 0 , 1 ) q \in (0,1) independent of u such that
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Optimal bounds for ancient caloric functions
, 2021 For any manifold with polynomial volume growth, we show: The dimension of the space of ancient caloric functions with polynomial growth is bounded by the degree of growth times the dimension of harmonic functions with the same growth.
Colding, Tobias Holck +1 more
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Polylinear Transformation Method for Solving Systems of Logical Equations
Mathematics, 2022 In connection with applications, the solution of a system of logical equations plays an important role in computational mathematics and in many other areas.
Dostonjon Numonjonovich Barotov +1 more
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Harmonic spirallike functions and harmonic strongly starlike functions
Monatshefte für 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 $ $-spirallike functions and hereditarily strongly ...
Xiu-Shuang Ma +2 more
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All functions are locally $s$-harmonic up to a small error [PDF]
, 2014 We show that we can approximate every function $f\in C^{k}(\bar{B_1})$ with a $s$-harmonic function in $B_1$ that vanishes outside a compact set. That is, $s$-harmonic functions are dense in $C^{k}_{\rm{loc}}$.
Dipierro, Serena +2 more
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