Kumar, D.; Kasana, H. S. The growth of an entire harmonic function in \(\mathbb{R}^ 3\). (English) Zbl 0878.30023 An. Univ. Timiș., Ser. Mat.-Inform. 33, No. 2, 195-208 (1995). Summary: A function which is harmonic in a neighbourhood of the origin in \(\mathbb{R}^2\) has there an expansion in spherical harmonics. The authors have defined generalized \((p,q)\)-type and generalized lower \((p,q)\)-type of an entire harmonic function in \(\mathbb{R}^3\) with respect to proximate order and obtain coefficient characterizations for these growth parameters. MSC: 30D15 Special classes of entire functions of one complex variable and growth estimates 30B20 Random power series in one complex variable Keywords:generalized \((p,q)\)-type; harmonic functions; index-pair; proximate order; generalized \((p,q)\)-types PDFBibTeX XMLCite \textit{D. Kumar} and \textit{H. S. Kasana}, An. Univ. Timiș., Ser. Mat.-Inform. 33, No. 2, 195--208 (1995; Zbl 0878.30023)