(p,q)-Growth of an Entire GASHE Function and the Coefficient βn = |an|/Γ(n+μ+1)
The main purpose of this paper is to extend the work concerning the measures of growth of an entire function solution of the generalized axially symmetric Helmholtz equation ∂2u/∂x2+∂2u/∂y2+(2μ/y)(∂u/∂y)=0, μ>0, by studying the general measures of growth ((p,q)-order, lower (p,q)-order, (p,q)-ty...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2018/7293160 |
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| Summary: | The main purpose of this paper is to extend the work concerning the measures of growth of an entire function solution of the generalized axially symmetric Helmholtz equation ∂2u/∂x2+∂2u/∂y2+(2μ/y)(∂u/∂y)=0, μ>0, by studying the general measures of growth ((p,q)-order, lower (p,q)-order, (p,q)-type, and lower (p,q)-type) in terms of coefficients |an|/Γ(n+μ+1) and the ratios of these successive coefficients. |
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| ISSN: | 0161-1712 1687-0425 |