Abstract and Applied Analysis

The Hyperspherical Functions of a Derivative

Nenad Cakic, Duško Letic, and Branko Davidovic

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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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Abstr. Appl. Anal., Volume 2010 (2010), Article ID 364292, 17 pages.

First available in Project Euclid: 12 August 2011

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Cakic, Nenad; Letic, Duško; Davidovic, Branko. The Hyperspherical Functions of a Derivative. Abstr. Appl. Anal. 2010 (2010), Article ID 364292, 17 pages. doi:10.1155/2010/364292. https://projecteuclid.org/euclid.aaa/1313170929

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