### Abstract

Original language | American English |
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Title of host publication | Hyperderivatives in Clifford analysis and some applications to the Cliffordian Cauchy-type integrals |

Pages | 221-234 |

Number of pages | 197 |

ISBN (Electronic) | 9783764398927 |

State | Published - 1 Jan 2009 |

Event | Trends in Mathematics - Duration: 1 Jan 2009 → … |

### Publication series

Name | Trends in Mathematics |
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Volume | 48 |

ISSN (Print) | 2297-0215 |

### Conference

Conference | Trends in Mathematics |
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Period | 1/01/09 → … |

### Fingerprint

### Cite this

*Hyperderivatives in Clifford analysis and some applications to the Cliffordian Cauchy-type integrals*(pp. 221-234). (Trends in Mathematics; Vol. 48).

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*Hyperderivatives in Clifford analysis and some applications to the Cliffordian Cauchy-type integrals.*Trends in Mathematics, vol. 48, pp. 221-234, Trends in Mathematics, 1/01/09.

**Hyperderivatives in Clifford analysis and some applications to the Cliffordian Cauchy-type integrals.** / Luna-Elizarrarás, M. E.; Macías-Cedeño, M. A.; Shapiro, M.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Hyperderivatives in Clifford analysis and some applications to the Cliffordian Cauchy-type integrals

AU - Luna-Elizarrarás, M. E.

AU - Macías-Cedeño, M. A.

AU - Shapiro, M.

PY - 2009/1/1

Y1 - 2009/1/1

N2 - © 2008 Birkhäuser Verlag Basel/Switzerland. We introduce the notion of the derivative as the limit of a quotient where the numerator and the denominator represent a kind of the "increments" of a function and of the independent variable respectively. The directional derivative is introduced where a direction means a hyperplane in Rm+1 for a Clifford algebra Cl0,m. The latter applies for obtaining a formula showing how to exchange the integral sign and the hyperderivative of the Cliffordian Cauchy-type integral as a hyperholomorphic function.

AB - © 2008 Birkhäuser Verlag Basel/Switzerland. We introduce the notion of the derivative as the limit of a quotient where the numerator and the denominator represent a kind of the "increments" of a function and of the independent variable respectively. The directional derivative is introduced where a direction means a hyperplane in Rm+1 for a Clifford algebra Cl0,m. The latter applies for obtaining a formula showing how to exchange the integral sign and the hyperderivative of the Cliffordian Cauchy-type integral as a hyperholomorphic function.

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84961375148&origin=inward

UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=84961375148&origin=inward

M3 - Conference contribution

SN - 9783764398927

T3 - Trends in Mathematics

SP - 221

EP - 234

BT - Hyperderivatives in Clifford analysis and some applications to the Cliffordian Cauchy-type integrals

ER -