**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**31821

##### On Generalized New Class of Matrix Polynomial Set

**Authors:**
Ghazi S. Kahmmash

**Abstract:**

New generalization of the new class matrix polynomial set have been obtained. An explicit representation and an expansion of the matrix exponential in a series of these matrix are given for these matrix polynomials.

**Keywords:**
Generating functions,
Recurrences relation and Generalization of the new class matrix polynomial set.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1075116

**References:**

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[2] E. Defez, M.Garcia -Honrubia and R.J. Villanueva, "A procedure for computing the Exponential of a matrix using Hermite matrix polynomials", Far East. J. Applied Mathematics, 6(3)pp. 217-231, 2002.

[3] L. Jodar, E. Defez, "On Hermite matrix polynomials and Hermite matrix function", J.

[4] L. Jodar, R. Company, "Hermite matrix polynomials and second order matrix differential equations,J". Approx. Theory Appl1,2 (2) pp.20- 30, 1996.

[5] G. S. Kahmmash (2008), "A new class of matrix polynomial set suggested by Hermite matrix Polynomials", to be published.

[6] K.A.M. Sayyed, M.S. Metwally , R.S. Batahan, "On Generalized Hermite Matrix Polynomials" Elect. J. Linear Algebra Vol.(10) pp.272-279, 2003.

[7] N. Dunford , J. Schwartz , "Linear operators". Vol. I, Interscience , New York, Approx. Theory Appl, 14(1) pp.36 - 48, 1998.