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Integral Transforms and Special Functions Volume 16, 2005 - Issue 3
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Miscellany

New results of α-calculus

Clément FrappierCorrespondence[email protected]
Pages 199-234 | Received 22 Jul 2003, Published online: 26 Jan 2007
 
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Abstract

We complete our basic presentation of the α-calculus. A generalized Stokes theorem is given. Several explicit calculations are done for analytic functions. We propose an extension of Fourier transform theory. We also give several complementary results.

Acknowledgements

The author was supported by Natural Sciences and Engineering Research Council of Canada, Grant OGP0009331.

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