Analysis and applications of holomorphic functions in higher dimensions

Yeh, R. Z.

doi:10.1090/S0002-9947-1994-1260207-2

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ISSN 1088-6850(online) ISSN 0002-9947(print)

Analysis and applications of holomorphic functions in higher dimensions

Author: R. Z. Yeh
Journal: Trans. Amer. Math. Soc. 345 (1994), 151-177
MSC: Primary 26E05; Secondary 30G35, 31B05, 35C10, 35J99
Erratum: Trans. Amer. Math. Soc. 347 (1995), null.
MathSciNet review: 1260207
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Abstract | References | Similar Articles | Additional Information

Abstract: Holomorphic functions in ${R^n}$ are defined to generalize those in ${R^2}$ . 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.

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