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2010 The Hyperspherical Functions of a Derivative
Nenad Cakic, Duško Letic, Branko Davidovic
Abstr. Appl. Anal. 2010: 1-17 (2010). DOI: 10.1155/2010/364292


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.


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Nenad Cakic. Duško Letic. Branko Davidovic. "The Hyperspherical Functions of a Derivative." Abstr. Appl. Anal. 2010 1 - 17, 2010.


Published: 2010
First available in Project Euclid: 12 August 2011

zbMATH: 1216.33025
MathSciNet: MR2746007
Digital Object Identifier: 10.1155/2010/364292

Rights: Copyright © 2010 Hindawi

Vol.2010 • 2010
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