On the convergence properties of basic series representing Clifford valued functions
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 the representation of classes of special monogenic functions in c...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203201083 |
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| Summary: | 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 the representation of classes of special
monogenic functions in certain balls and at a point. |
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| ISSN: | 0161-1712 1687-0425 |