文章詳目資料

Tamsui Oxford Journal of Mathematical Sciences

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篇名 Growth of Entire Harmonic Functions in Rn,n ≥ 2
卷期 26:4
作者 Devendra Kumary
頁次 369-381
關鍵字 Homogeneous harmonic polynomialsEntire har- monic functionLaplace's equationLower order and lower type
出刊日期 201011

中文摘要

英文摘要

Let h be a harmonic function on Rn, n ≧ 2. Then there exists
on entire function f on C such that f(u) = h(u, 0, ...., 0) for all real
u.This fact has been used to deduce theorems for harmonic function
on Rn from classical results about entire functions. Moreover, we have
considered the characterizations of lower order and lower type of h in
terms of coefficients and ratio of these successive coefficients occurring
in power series expansion of f.

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