Generalized growth of entire harmonic functions
2008
artykuł naukowy
angielski
- harmonic function
- spherical harmonics
- entire function
- Fourier coefficients
- order
- type
- generalized order
- generalized type
- lower order
EN Let H(x), x = (x1, x2, ... , xn), be an entire harmonic function in Rn.Fryant and Shankar [1] had obtained growth properties of H explicitly in terms of its Fourier coeffcients. In this paper, we obtain the characterizations of generalized order and type and introduce the generalized lower order for H. Special case of functions of slow growth has also been considered. Our results generalize some of the results obtained in [1].
79 - 89
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