On the convergence properties of basic series representing
special monogenic functions |
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| Authors: | M A Abul-Ez D Constales |
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| Institution: | (1) Mathematics Department, Faculty of Science, South Valley University, 82524 Sohag, Egypt;(2) Department of Mathematical Analysis, Ghent University, Galglaan 2, 9000 Gent, Belgium |
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| Abstract: | In this paper, it is shown that certain classes of special monogenic functions cannot
be represented by the basic series in the whole space. New definitions for the order of basis of
special monogenic polynomials are given together with theorems on representation of classes of
special monogenic functions in certain balls and at a point.
Received: 8 January 2002 |
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| Keywords: | 30G35 41A10 |
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