ANALYSIS AND APPLICATIONS OF HOLOMORPHIC-FUNCTIONS IN HIGHER DIMENSIONS

Authors
YEH RZ
Citation
Rz. Yeh, ANALYSIS AND APPLICATIONS OF HOLOMORPHIC-FUNCTIONS IN HIGHER DIMENSIONS, Transactions of the American Mathematical Society, 345(1), 1994, pp. 151-177
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
345
Issue
1
Year of publication
1994
Pages
151 - 177
Database
ISI
SICI code
0002-9947(1994)345:1<151:AAAOHI>2.0.ZU;2-Q
Abstract
Holomorphic functions in R(2) are defined to generalize those in R(2). A Taylor formula and a Cauchy integral formula are presented. An appl ication of the Taylor formula to the kernel of the Cauchy integral for mula results in Taylor series expansions of holomorphic functions. Rea l harmonic functions are expanded in series of homogeneous harmonic po lynomials.