The Hyperspherical Functions of a Derivative

We present the results of theoretical research of the generalized hypersherical function (HS) by generalizing two known functions related to the sphere hypersurface and hypervolume and the recurrent relation between them. By introducing two-dimensional degrees of freedom k and n (and the third, radi...

Full description

Saved in:
Bibliographic Details
Published in:Abstract and Applied Analysis 2010-01, Vol.2010 (2010), p.819-835
Main Authors: Cakic, Nenad, Letic, Duško, Davidovic, Branko
Format: Article
Language:English
Subjects:
Geometry
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We present the results of theoretical research of the generalized hypersherical function (HS) by generalizing two known functions related to the sphere hypersurface and hypervolume and the recurrent relation between them. By introducing two-dimensional degrees of freedom k and n (and the third, radius r), we develop the derivative functions for all three arguments and the possibilities of their use. The symbolical evolution, numerical experiment, and graphical presentation of functions are realized using the Mathcad Professional and Mathematica softwares.
ISSN:1085-3375
1687-0409
DOI:10.1155/2010/364292