Treffer: Analysis and applications of holomorphic functions in higher dimensions

Title:
Analysis and applications of holomorphic functions in higher dimensions
Authors:
R. Z. Yeh
Source:
Transactions of the American Mathematical Society. 345:151-177
Publisher Information:
American Mathematical Society (AMS), 1994.
Publication Year:
1994
Subject Terms:
Clifford-valued functions, Functions of hypercomplex variables and generalized variables, Taylor formula, 4. Education, hyperholomorphic functions, 0103 physical sciences, Series solutions to PDEs, Cauchy integral formula, 0101 mathematics, 01 natural sciences, Harmonic, subharmonic, superharmonic functions in higher dimensions
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Language:
English
ISSN:
1088-6850
0002-9947
DOI:
10.1090/s0002-9947-1994-1260207-2
DOI:
10.2307/2154599
Access URL:
https://www.ams.org/tran/1994-345-01/S0002-9947-1994-1260207-2/S0002-9947-1994-1260207-2.pdf
https://zbmath.org/681236
https://doi.org/10.2307/2154599
https://www.ams.org/journals/tran/1994-345-01/S0002-9947-1994-1260207-2/home.html
Accession Number:
edsair.doi.dedup.....9dd75aeeeb67b27a9b1db49be6d966c8
Database:
OpenAIRE

Weitere Informationen

Holomorphic functions in R n {R^n} are defined to generalize those in R 2 {R^2} . A Taylor formula and a Cauchy integral formula are presented. An application of the Taylor formula to the kernel of the Cauchy integral formula results in Taylor series expansions of holomorphic functions. Real harmonic functions are expanded in series of homogeneous harmonic polynomials.