Measures of Growth of Entire Solutions of Generalized Axially Symmetric Helmholtz Equation. (3rd January 2013)

• Record Type: Journal Article
• Authors: Kumar, Devendra; Singh, Rajbir
• Other Names: Kravchenko Vladislav Academic Editor.
• Is Part Of: Journal of complex analysis. Volume 2013(2013)
• Publication Date: 2013-01-03
• Subjects: Functions of complex variables -- Periodicals; Mathematical analysis -- Periodicals; 515.905
• DOI: 10.1155/2013/472170
• Languages: English
• ISSNs: 2314-4963

Abstract

Abstract : For an entire solution of the generalized axially symmetric Helmholtz equation ∂ 2 u / ∂ x 2 + ∂ 2 u / ∂ y 2 + ( 2 μ / y ) ( ∂ u / ∂ y ) + k 2 u = 0, μ > 0, measures of growth such as lower order and lower type are obtained in terms of the Bessel-Gegenbauer coefficients. Alternative characterizations for order and type are also obtained in terms of the ratios of these successive coefficients.