| Devendra KUMAR,Anindita BASU.Growth and Approximation of Generalized Bi-Axially Symmetric Potentials[J].数学研究及应用,2015,35(6):613~624 |
| Growth and Approximation of Generalized Bi-Axially Symmetric Potentials |
| Growth and Approximation of Generalized Bi-Axially Symmetric Potentials |
| 投稿时间：2014-12-12 修订日期：2015-05-27 |
| DOI：10.3770/j.issn:2095-2651.2015.06.003 |
| 中文关键词: generalized bi-axially symmetric potentials $q$-proximate order Jacobi polynomials generalized $q$-type generalized lower $q$-type approximation errors |
| 英文关键词:generalized bi-axially symmetric potentials $q$-proximate order Jacobi polynomials generalized $q$-type generalized lower $q$-type approximation errors |
| 基金项目: |
| 作者 | 单位 | | Devendra KUMAR | Department of Mathematics, Faculty of Science, Al-Baha University, P.O.Box-1988, Al-Baha-65431, Saudi Arabia, K. S. A | | Anindita BASU | Department of Mathematics, Dr. Bhupendra Nath Dutta Smriti Mahavidyalaya, Burdwan, P.O Box-713407, West Bengal, India |
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| 中文摘要: |
| The paper deals with growth estimates and approximation (not necessarily entire) of solutions of certain elliptic partial differential equations. These solutions are called generalized bi-axially symmetric potentials (GBASP's). To obtain more refined measure of growth, we have defined $q$-proximate order and obtained the characterization of generalized $q$-type and generalized lower $q$-type with respect to $q$-proximate order of a GBASP in terms of approximation errors and ratio of these errors in sup norm. |
| 英文摘要: |
| The paper deals with growth estimates and approximation (not necessarily entire) of solutions of certain elliptic partial differential equations. These solutions are called generalized bi-axially symmetric potentials (GBASP's). To obtain more refined measure of growth, we have defined $q$-proximate order and obtained the characterization of generalized $q$-type and generalized lower $q$-type with respect to $q$-proximate order of a GBASP in terms of approximation errors and ratio of these errors in sup norm. |
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