Common, Alan K.,
Sommen, F.
(1994)
*
Special Bi-Axial Monogenic Functions.
*
Journal of Mathematical Analysis and Applications,
185
(1).
pp. 189-206.
ISSN 0022-247X.
(doi:10.1006/jmaa.1994.1241)
(The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)
(KAR id:20465)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |

Official URL http://dx.doi.org/10.1006/jmaa.1994.1241 |

## Abstract

In this paper we extend our recent work on axial monogenic functions in R(m+1) to functions which are monogenic in bi-axially symmetric domains of R(p+q). We show that an integral transform of a wide class of holomorphic functions of a single complex variable gives monogenic functions of this type. It is demonstrated that these integral transforms are related to plane wave monogenic functions. A bi-axial monogenic exponential function is defined using the exponential function of a complex variable and bounds are obtained on its modulus. Bi-axially symmetric monogenic generating functions are used to define generalisations of Gegenbauer polynomials and Hermite polynomials. Finally, bi-axial power functions are constructed using the above integral transform. (C) 1994 Academic Press, Inc.

Item Type: | Article |
---|---|

DOI/Identification number: | 10.1006/jmaa.1994.1241 |

Subjects: | Q Science > QA Mathematics (inc Computing science) |

Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |

Depositing User: | P. Ogbuji |

Date Deposited: | 02 Jul 2009 15:46 UTC |

Last Modified: | 16 Nov 2021 09:58 UTC |

Resource URI: | https://kar.kent.ac.uk/id/eprint/20465 (The current URI for this page, for reference purposes) |

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