| ON HERMITE MATRIX POLYNOMIALS AND HERMITE MATRIX FUNCTIONS |
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| 作者姓名： | LucasJodar EmilloDefez |
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| 作者单位： | Polytechnical University of Valencia，spai，Polytechnical University of Valencia，spai |
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| 摘 要： | In this paper properties of Hermite matrix polynomials and Hermite matrix functions are studied. The concept ot total set with respect to a matrix functional is introduced and the total property of the Hermite matrix polynomials is proved. Asymptotic behaviour of Hermite matrix polynomials is studied and the relationship of Hermite matrix functions with certain matrix differential equations is developed. A new expression of the matrix exponential for a wide class of matrices in terms of Hermite matrix polynomials is proposed.
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On Hermite matrix polynomials and Hermite matrix functions |
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| LucasJodar,EmilloDefez.ON HERMITE MATRIX POLYNOMIALS AND HERMITE MATRIX FUNCTIONS[J].Analysis in Theory and Applications,1998,14(1):36-48. |
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| Authors: | Lucas Jódar Emilio Defez |
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| Institution: | 1. Polytechnical University of Valencia, Plaza Mestre Ripoll N 010 Esc. D. Pta18, 46022, Valencia, Spain
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| Abstract: | In this paper properties of Hermite matrix polynomials and Hermite matrix functions are studied. The concept ot total set with respect to a matrix functional is introduced and the total property of the Hermite matrix polynomials is proved. Asymptotic behaviour of Hermite matrix polynomials is studied and the relationship of Hermite matrix functions with certain matrix differential equations is developed. A new expression of the matrix exponential for a wide class of matrices in terms of Hermite matrix polynomials is proposed. |
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