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Some relations on Gegenbauer matrix polynomials

Research Authors
Ayman Shehata
Research Abstract

The main aim of this paper is devoted to derive some relations of Gegenbauer matrix polynomials of two variables. Volterra integral equation and a new representation of these matrix polynomials are given here. We introduce new generalized various forms of Gegenbauer matrix polynomials of two and three matrices by using the method of integral transforms to Hermite matrix polynomials. Furthermore, families of generating matrix functions are obtained and their applications are presented.

Research Department
Research Journal
Review of Computer Engineering Research
Research Publisher
A. Shehata; Some relations on Gegenbauer matrix polynomials. Review of Computer Engineering Research, 2 (1) (2015), 1-21.
Research Rank
1
Research Vol
Vol. 2 -No. 1
Research Website
http://www.google.com.sa/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&cad=rja&uact=8&ved=0CCQQFjAAahUKEwj1q--6jrrHAhXHvBoKHbljDjM&url=http%3A%2F%2Fwww.pakinsight.com%2Fpdf-files%2FRCER-2015-2(1)-1-21.pdf&ei=AxHXVbWeH8f5arnHuZgD&usg=AFQjCNGzpsfm5K4pTDpwqb0DAOE
Research Year
2015
Research Pages
1-21