Author:
Letic Dusko,Cakic Nenad,Davidovic Branko,Berkovic Ivana
Abstract
Abstract
In this paper, we present the theoretical research results of certain characteristics of the generalized hyperspherical function with two degrees of freedom as independent dimensions. Here, we primarily give the answers to the quantification of dimensional potentials (fluxes) of this function in the domain of natural numbers. In addition, we also give the solutions to continual fluxes of separate contour hyperspherical (HS) functions. The symbolical evaluation and numerical verification of the values of series and integrals are realized using MathCAD Professional and Mathematica.
MSC 2010: 51M04; 33E99.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference33 articles.
1. Conway JH: Sphere Packing, Lattices and Groups. 2nd edition. Springer, New York; 1993:9.
2. Dodd J, Coll V: Generalizing the equal area zones property of the sphere. J Geom 2008, 90: 47–55. 10.1007/s00022-008-2015-2
3. Manning HP: Geometry of Four Dimensions. Phillips Press; 2010:364.
4. Letić D, Cakić N, Davidović B: The relational translators of the hyperspherical functional matrix, advances in difference equations. J Hindawi 2010, 2010: 11. Article ID 973432
5. Cakić N, Letić D, Davidović B: The hyperspherical functions of a derivative. Abstr Appl Anal 2010, 17. Article ID 364292