2005/09/30 by Vasily E. Tarasov
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Charge density #Cumulant #Distribution (mathematics) #Fast multipole method #Fractal #Fractal analysis #Fractal derivative #Fractal dimension #Fractional Differential Equations Solutions #Mathematical analysis #Mathematics #Method of moments (probability theory) #Multipole expansion #Physics #Quantum mechanics #Spherical multipole moments #Statistical Mechanics and Entropy #Statistical physics #physics.class-ph #physics.plasm-ph
paper · pdf · doi:10.1142/s0217984905009122
published as Modern Physics Letters B. Vol.19. Vol.22. (2005) 1107-1118 · LaTeX, 11 pages
openalex publication_date 2005/09/30 · arxiv created 2006/06/29 · arxiv updated 2015/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper we consider the electric multipole moments of fractal distribution of charges. To describe fractal distribution, we use the fractional integrals. The fractional integrals are considered as approximations of integrals on fractals. In the paper we compute the electric multipole moments for homogeneous fractal distribution of charges.