Result: On the order of basic series representing Clifford valued functions: On the order of basic series representing Clifford valued functions.
Title:
On the order of basic series representing Clifford valued functions: On the order of basic series representing Clifford valued functions.
Authors:
Source:
Applied Mathematics and Computation. 142:575-584
Publisher Information:
Elsevier BV, 2003.
Publication Year:
2003
Subject Terms:
Functions of hypercomplex variables and generalized variables, Polynomials and rational functions of one complex variable, special polynomials, Cannon basis, Special classes of entire functions of one complex variable and growth estimates, order of entire functions, 0101 mathematics, 01 natural sciences, Clifford analysis
Document Type:
Academic journal
Article
File Description:
application/xml
Language:
English
ISSN:
0096-3003
DOI:
10.1016/s0096-3003(02)00350-8
Access URL:
Rights:
Elsevier TDM
Accession Number:
edsair.doi.dedup.....b7a9cd01528bc596cfd1d501cbc7b64d
Database:
OpenAIRE
Further Information
The authors introduced in Complex Variables, Theory Appl. 14, 177--185 (1985; Zbl 0663.41009) special sets of polynomials, spanned by expressions of the form \(\text{ol}\,{x}^ix^j\). Under some growth conditions the related basic set of polynomials is called a Cannon set. Using this Cannon set some theorems on the growth of entire monogenic functions in Clifford analysis are proved.