Results 11 to 20 of about 11,589,324 (344)

Green's functions of the first and second boundary value problems for the Laplace equation in the nonclassical domain

open access: yesРадіоелектронні і комп'ютерні системи, 2022
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
doaj   +1 more source

Frequency-Domain Analysis of Linear Time-Periodic Systems [PDF]

open access: yes, 2004
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
core   +1 more source

Studying the Harmonic Functions Associated with Quantum Calculus

open access: yesMathematics, 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
doaj   +1 more source

Multiply Harmonic Functions [PDF]

open access: yesNagoya 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,
openaire   +3 more sources

Approximate solution for Fokker-Planck equation [PDF]

open access: yes, 2015
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

open access: yesMoroccan 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
doaj   +1 more source

BASIC DONKIN'S DIFFERENTIAL OPERATORS FOR HOMOGENEOUS HARMONIC FUNCTIONS

open access: yesSt. 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
doaj   +1 more source

On the truncation of the harmonic oscillator wavepacket [PDF]

open access: yes, 2005
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
core   +3 more sources

Fourier coefficients and growth of harmonic functions

open access: yesInternational 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
doaj   +1 more source

Monogenic functions and harmonic vectors

open access: yesPracì 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
doaj   +1 more source

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