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Article

Some Relations on Hermite Matrix Polynomials

by
Levent Kargin
* and
Veli Kurt
*
Department of Mathematics, Faculty Science, University of Akdeniz TR-07058, Antalya, Turkey
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2013, 18(3), 323-329; https://doi.org/10.3390/mca18030323
Published: 1 December 2013
Versions Notes

Abstract

In this study we give addition theorem, multiplication theorem and summation formula for Hermite matrix polynomials. We write Hermite matrix polynomials as hypergeometric matrix functions. We also obtain a new generating function for Hermite matrix polynomials and using this function, we prove some new results and relations.
Keywords: Hypergeometric matrix functions; Hermite matrix polynomials; generating matrix functions Hypergeometric matrix functions; Hermite matrix polynomials; generating matrix functions

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MDPI and ACS Style

Kargin, L.; Kurt, V. Some Relations on Hermite Matrix Polynomials. Math. Comput. Appl. 2013, 18, 323-329. https://doi.org/10.3390/mca18030323

AMA Style

Kargin L, Kurt V. Some Relations on Hermite Matrix Polynomials. Mathematical and Computational Applications. 2013; 18(3):323-329. https://doi.org/10.3390/mca18030323

Chicago/Turabian Style

Kargin, Levent, and Veli Kurt. 2013. "Some Relations on Hermite Matrix Polynomials" Mathematical and Computational Applications 18, no. 3: 323-329. https://doi.org/10.3390/mca18030323

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