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A note on the growth order of the inverse and product bases of special monogenic polynomials |
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| Authors: | G F Hassan |
| Institution: | Department of Mathematics Faculty of Science, University of Assiut, , Assiut, 71516 EgyptCurrent address: Department of Mathematics, Faculty of Sciences, Northern Boarders University, P.O. Box 1321, Arar, Kingdom of Saudi Arabia |
| Abstract: | The purpose of this paper is to generalize some theorems on the representation of certain classes of the entire special monogenic functions by inverse and product bases of special monogenic polynomials. We derive bounds for the order of inverse and product bases. Some examples are given showing that the resulting bounds are attainable. Our results improve and generalize some known results in Clifford setting concerning the order of inverse and product bases. Copyright © 2011 John Wiley & Sons, Ltd. |
| Keywords: | bases of polynomials special monogenic polynomials order inverse and product bases approximation by polynomials |