Results 11 to 20 of about 11,589,324 (344)
The subject of study is the Green's functions of the first and second boundary value problems for the Laplace equation. The study constructs the Green's functions of the first and second boundary value problems for the Laplace equation in space with a ...
Oleksii Nikolaev +2 more
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Frequency-Domain Analysis of Linear Time-Periodic Systems [PDF]
In this paper, we study convergence of truncated representations of the frequency-response operator of a linear time-periodic system. The frequency-response operator is frequently called the harmonic transfer function. We introduce the concepts of input,
Bernhardsson, Bo +2 more
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Studying the Harmonic Functions Associated with Quantum Calculus
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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Multiply Harmonic Functions [PDF]
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,
openaire +3 more sources
Approximate solution for Fokker-Planck equation [PDF]
In this paper, an approximate solution to a specific class of the Fokker-Planck equation is proposed. The solution is based on the relationship between the Schr\"{o}dinger type equation with a partially confining and symmetrical potential.
Araujo, M. T., Filho, E. Drigo
core +5 more sources
Harmonic numbers, harmonic series and zeta function
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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BASIC DONKIN'S DIFFERENTIAL OPERATORS FOR HOMOGENEOUS HARMONIC FUNCTIONS
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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On the truncation of the harmonic oscillator wavepacket [PDF]
We present an interesting result regarding the implication of truncating the wavepacket of the harmonic oscillator. We show that disregarding the non-significant tails of a function which is the superposition of eigenfunctions of the harmonic oscillator ...
Ali S T +11 more
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Fourier coefficients and growth of harmonic functions
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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Monogenic functions and harmonic vectors
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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