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, rad...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/364292 |
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| _version_ | 1832567185255432192 |
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| author | Nenad Cakic Duško Letic Branko Davidovic |
| author_facet | Nenad Cakic Duško Letic Branko Davidovic |
| author_sort | Nenad Cakic |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a14f39a93e434d83a1933a4329f8b543 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a14f39a93e434d83a1933a4329f8b5432025-02-03T01:02:11ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/364292364292The Hyperspherical Functions of a DerivativeNenad Cakic0Duško Letic1Branko Davidovic2Faculty of Electrical Engineering, University of Belgrade, 11000 Belgrade, SerbiaTechnical Faculty M. Pupin, 23000 Zrenjanin, SerbiaTechnical High School, 34000 Kragujevac, SerbiaWe 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.http://dx.doi.org/10.1155/2010/364292 |
| spellingShingle | Nenad Cakic Duško Letic Branko Davidovic The Hyperspherical Functions of a Derivative Abstract and Applied Analysis |
| title | The Hyperspherical Functions of a Derivative |
| title_full | The Hyperspherical Functions of a Derivative |
| title_fullStr | The Hyperspherical Functions of a Derivative |
| title_full_unstemmed | The Hyperspherical Functions of a Derivative |
| title_short | The Hyperspherical Functions of a Derivative |
| title_sort | hyperspherical functions of a derivative |
| url | http://dx.doi.org/10.1155/2010/364292 |
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