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**Review of Computer Engineering Research**

March 2015, Volume 2, 1, pp 1-21

This study is one of very few studies which have been investigated to new families of Gegenbauer matrix polynomials of two variables with two and three matrices is introduced using integral transform method and allow the derivation of a wealth of relations involving these matrix polynomials, and discuss its various special cases and their applications are presented. These results allow us to note that the use of the method of the integral representation is a fairly important tool of analysis and can be usefully extended to other families of Gegenbauer matrix polynomials which is a problem for further work.

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