Hypercomplex derivative bases of polynomials in Clifford analysis

Convergence properties of hypercomplex derivative bases of special monogenic polynomials are studied. These new results extend and improve a lot of known works from the complex case to Clifford setting. Copyright © 2009 John Wiley & Sons, Ltd.

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Bibliographic Details
Published in:	Mathematical methods in the applied sciences Vol. 33; no. 3; pp. 350 - 357
Main Authors:	Aloui, L., Hassan, G. F.
Format:	Journal Article
Language:	English
Published:	Chichester, UK John Wiley & Sons, Ltd 01.02.2010 Wiley
Subjects:	approximation by polynomials Approximations and expansions bases of polynomials Clifford analysis Convergence Derivatives effectiveness Exact sciences and technology functions of hypercomplex variables and generalized variables hypercomplex derivative Mathematical analysis Mathematics Sciences and techniques of general use special monogenic polynomials Polynomial effectiveness approximation by polynomials special monogenic polynomials hypercomplex derivative Applied mathematics Polynomial approximation Clifford analysis bases of polynomials Mathematical method functions of hypercomplex variables and generalized variables Convergence
ISSN:	0170-4214, 1099-1476, 1099-1476
Online Access:	Get full text
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Summary:	Convergence properties of hypercomplex derivative bases of special monogenic polynomials are studied. These new results extend and improve a lot of known works from the complex case to Clifford setting. Copyright © 2009 John Wiley & Sons, Ltd.
Bibliography:	ArticleID:MMA1176 istex:D87119B8AB20C8AC4AE897D14F9F0B4ADD949EFC ark:/67375/WNG-PTQ6LPW3-B Tunisian Ministry for Scientific Research and Technology ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0170-4214 1099-1476 1099-1476
DOI:	10.1002/mma.1176